Solution: According to the question, mass of ice is mice= 200 g Time (t1) for ice to melt is 1 min, or 60 s Mass of water is mw = 200 g Temperature change of water is ΔT = 200 C Heat exchange occurs...
The amount of heat energy required to convert 1 kg of ice at -10oC completely into water at 100oC is 777000 J. calculate the specific latent heat of ice.
Specific heat capacity of ice = 2100 J kg-1 K-1, Specific heat capacity of water is 4200 J kg-1 K-1. Solution: According to the question, 1 kg of ice at -10oC is completely converted into water at...
Calculate the total amount of heat energy required to convert 100 g of ice at -10o C completely into water at 100o C.
Specific heat capacity of ice = 2.1 J g-1 K-1, specific heat capacity of water = 4.2 J g-1 K-1, specific latent heat of fusion of ice = 336 J g-1. Solution: According to the question, 100 g of ice...
2 kg of ice melts when water at 100oC is poured in a hole drilled in a block of ice. What mass of water was used?
Given: Specific heat capacity of water = 4200 J kg-1 K-1, specific latent heat of ice = 336 × 103 J Kg-1. Solution: According to the question, 2 kg of ice melts when water at 100oC is...
A piece of ice of mass 40 g is added to 200 g of water at 50oC. Calculate the final temperature of the water when all the ice has melted. Specific heat capacity of water = 4200 J kg-1 K-1 and specific latent heat of fusion of ice =336 x 103 J kg-1.
Solution: According to the question, ice of mass 40 g is added to 200 g of water at 50oC. WE have to calculate the final temperature when all the ice has melted. Let this final temperature of the...
Find the result of mixing 10 g of ice at -10oC with 10 g of water at 10oC. Specific heat capacity of ice is 2.1 J g-1 K-1, specific latent heat of ice = 336 J g-1, and specific heat capacity of water = 4.2 J g-1 K-1.
Solution: According to the question, 10 g of ice at -10oC is mixed with 10 g of water at 10oC. And, heat capacity of ice = 2.1 J g-1 K-1, specific latent heat of ice = 336 J g-1, and specific heat...
In an experiment, 17 g of ice is used to bring down the temperature of 40 g of water at 34oC to its freezing temperature. The specific heat capacity of water is 4.2 J g-1 K-1. Calculate the specific latent heat of ice. State one important assumption made in the above calculation.
Solution: According to the question Mass of ice (m1) is 17 g Mass of water m2 is 40 g Change in temperature is given by 34 – 0 = 34 K We know that the specific heat capacity of water is 4.2 J...
A refrigerator converts 100 g of water at 20oC to ice at -10oC in 73.5 min. calculate the average rate of heat extraction in watt. The specific heat capacity of water is 4.2 J g-1 K-1, specific latent heat of ice is 336 J g-1 and the specific heat capacity of ice is 2.1 J g-1 K-1.
Solution: According to the question, mass of water is 100g at 20 degrees C is converted to ice at -10 degrees C in 73.5 mins. We will first calculate the heat energy by using the following...
A molten metal of mass 150 g is kept at its melting point 800oC. When it is allowed to freeze at the same temperature, it gives out 75000 J of heat energy.
(a)What is the specific latent heat of the metal? (b) If the specific heat capacity of metal is 200 J kg-1 K-1, how much additional heat energy will the metal give out in cooling to – 50oC?...
How much heat energy is released when 5.0 g of water at 20o C changes into ice at 0o C? Take specific heat capacity of water =4.2 J g-1 K-1, specific latent heat of fusion of ice = 336 J g-1.
Solution: According to the question, mass of water m is 5.0 g Specific heat capacity (c) of water is 4.2 J g-1 K-1 Specific latent heat of fusion (L) of ice is 336 J g-1 In order to calculate the...
10 g of ice at 0oC absorbs 5460 J of heat energy to melt and change to water at 50oC. Calculate the specific latent heat of fusion of ice. Specific heat capacity of water is 4200 J kg-1 K-1.
Solution: According to the question, Mass of ice = 10 g = 0.01 kg Amount of absorbed heat energy is Q = 5460 J We have to find the specific latent heat of fusion of ice. We are given that the...
The specific latent heat of fusion of water is:
(a) 80 cal g-1 (b) 2260 J g-1 (c) 80 J g-1 (d) 336 J kg-1 Solution: The correct option is (a). The specific latent heat of fusion of water is 80 cal g-1
The S.I. unit of specific latent heat is:
(a) cal g-1 (b) cal g-1 K-1 (c) J kg-1 (d) J kg -1 K-1 Solution: The correct option is (c). The S.I. unit of specific latent heat is J kg-1
1 kg of ice at 0o is heated at a constant rate and its temperature is recorded after every 30 seconds till steam is formed at 100o C. Draw a temperature-time graph to represent the change of phases.
Solution: Temperature Time Graph
The diagram shows the change of phases of a substance on a temperature-time graph on heating the substance at a constant rate.
(a)What do parts AB, BC, CD and DE represent? (b) What is the melting point of the substance? (c) What is the boiling point of the substance? Solution: (a) The AB section depicts the solid's...
Explain the following:
(i) The surroundings become pleasantly warm when water in a lake starts freezing in cold countries. (ii) The heat supplied to a substance during its change of state, does not cause any rise in its...
Water in lakes and ponds do not freeze at once in cold countries. Give reason.
Solution: Ice has a sufficiently high specific latent heat of fusion of 336 J g-1. Before freezing, the water in lakes and ponds must release a considerable amount of heat into the atmosphere. The...
The temperature of surroundings starts falling when ice in a frozen lake starts melting. Give reasons.
Solution: The reason for this is that the heat energy needed to defrost the frozen lake is absorbed from the atmosphere. As a result, the temperature of the environment drops, and it becomes...
It is generally cold after a hail storm than during and before the hail storm. Give reasons.
Solution:...
The soft drink bottles are cooled by (i) ice cubes at 0°C, and (ii) iced-water at 0°C. Which will cool the drink quickly? Give reason.
Solution: To melt 1 g of ice into water at 0 C, it needs 336 J of heat energy from the drink. As a result, the bottle loses 336 J more heat energy to 1 g ice at 00 C than it does to 1 g ice-cold...
Ice cream appears colder to the mouth than water at 0oC. Give reasons.
Solution: Ice cream absorbs both heat energy and latent heat to reach room temperature, whereas water absorbs only heat energy. As a result, ice cream absorbs more energy from the tongue than water....
(a) Which requires more heat: 1 g ice at 0o C or 1 g water at 0oC to raise its temperature to 10oC? (b) Explain your answer in part (a).
Solution: (a) At 0 degrees Celsius, 1 g of ice requires extra heat because ice requires more heat energy equal to the latent heat of melting.(b) At 0 degrees Celsius, 1 g of ice absorbs 336 J of...
Which has more heat: 1 g of ice at 0o C or 1 g of water at 0oC? Give reasons.
Solution: At 0 degrees Celsius, 1 g of water has more heat than 1 g of ice. This is due to the fact that ice at 0°C absorbs 360 J of heat energy to convert to water at 0°C.
1 g ice at 0o C melts to form 1 g water at 0o. State whether the latent heat is absorbed or given out by ice.
Solution: 1 g ice at 0o C melts to form 1 g water at 0o. Because ice requires heat to melt, it will absorb heat in the form of latent heat and maintain a constant temperature until it melts.
‘The specific latent heat of fusion of ice is 336 J g-1 ‘. Explain the meaning of this statement.
Solution: The specific latent heat of fusion of ice is 336 J g-1. This implies that 1 g of ice at 00 C absorbs 336 J of heat energy in order to convert into water at 00 C.
Write the approximate value of specific latent heat of ice.
Solution: The approximate value of specific latent heat of ice is 336000 J kg-1
Define the term specific latent heat of fusion of ice. State its S.I. unit.
Solution: The thermal energy required to melt a unit amount of ice at 0 degrees C to water at 0 degrees C without changing the temperature is known as the specific latent heat of fusion of ice.
What do you understand by the term latent heat?
Solution: The latent heat is the heat energy absorbed or released during a phase shift that is not externally expressed as a rise or fall in temperature.
Complete the following sentences:
(a) Volume of ice …………. when it melts. (b)Decrease in pressure over ice ………….. its melting point. (c)Increase in pressure ………..the boiling point of water. (d)A pressure cooker is based on the...
It is difficult to cook vegetables on hills and mountains. Explains the reason.
Solution: At high altitudes, atmospheric pressure is low. As a result, the boiling point of water drops, and it is unable to give the necessary thermal energy to its contents for cooking. As a...
Write down the approximate range of temperature at which water boils in a pressure cooker.
Solution: The water boils at about 1200 C to 1250 C in a pressure cooker.
Water boils at 120 °C in a pressure cooker. Explain the reason
Solution: With increasing pressure, the boiling point of a liquid rises and falls with decreasing pressure. Pure water has a boiling point of 1000 degrees Celsius at one atmosphere of pressure....
What is the effect of increase in pressure on the boiling point of a liquid?
Solution: The boiling point of a liquid increases with the increase in pressure. Explanation - The energy required for the liquid molecules to expand to the gas phase increases as the pressure...
How is the boiling point of water affected when some salt is added to it?
Solution: When you add salt to water, it raises its boiling point. When ordinary salt is added to water, it boils at over 1000 degrees Celsius. Cooking becomes easier and faster as the salt in the...
How is the volume of water affected when it boils at 100oC?
Solution: When water boils at 100°C, its volume increases dramatically and its condition changes from liquid to steam. Although the temperature does not change during boiling, the volume expands due...
Explain the terms boiling and boiling point.
Solution: Boiling is the transition from a liquid to a gas phase due to the absorption of heat at a constant temperature.The boiling point of a liquid is defined as the temperature at which it...
State the effect of the increase of pressure on the melting point of ice.
Solution: The melting point of ice decreases as pressure increases. For every one atmosphere increase in pressure, the melting point of ice drops by 0.00720 C.
State the effect of the presence of impurity on the melting point of ice. Give one use of it.
Solution: When impurities are present in a substance, its melting point drops.This is used to make a freezing combination by combining salt with ice. Kulfis are made with the freezing mixture.
How does the (a) average kinetic energy (b) average potential energy of molecules of a substance change during its change in phase at a constant temperature, on heating?
Solution: (a) Molecules' average kinetic energy remains constant.(b) Molecules' average potential energy rises.Explanation: When a substance is heated to a constant temperature, i.e., during its...
A substance on heating undergoes (i) a rise in its temperature, (ii) A change in its phase without change in its temperature. In each case, state the change in energy of molecules of the substance.
Solution: (i) The average kinetic energy of molecules increases with the increase in temperature. (ii) Average potential energy of molecules increases with a change in its phase.
A substance changes from its solid state to the liquid state when heat is supplied to it
a. Name the process. b. What name is given to heat observed by the substance. c. How does the average kinetic energy of the molecules of the substance change. Solution: (a) This...
(a)What do you understand by the change of phase of substance?
(b)Is there any change in temperature during the change of phase? (c)Does the substance absorb or liberate any heat during the change of phase? (d) What is the name given to the energy absorbed...
1.0 kg of water is contained in a 1.25 kW kettle. Calculate the time taken for the temperature of water to rise from 25° C to its boiling point 100° C. Specific heat capacity of water = 4.2 J g-1 K-1.
Solution: We know that the Heat energy = Power × time Also we can write in the following manner - Heat energy = mc(change in temperature) Therefore, we can write => mc(change in temperature) = Power...
The temperature of 600 g of cold water rises by 15o C when 300 g of hot water at 50o C is added to it. What was the initial temperature of the cold water?
Solution: According to the question, Mass of hot water (m1) is 300 g Temperature (T1) is 500 C Mass of cold water (m2) is 600 g Change in the temperature of cold water (T – T2) is 150 C Let the...
200 g of hot water at 80o C is added to 300 g of cold water at 10oC. Neglecting the heat taken by the container, calculate the final temperature of the mixture of water. Specific heat capacity of water = 4200 J kg-1 K-1.
Solution: According to the question, Mass of hot water (m1) is 200 g Temperature of hot water (T1) is 800 C Mass of cold water (m2) is 300 g Temperature of cold water (T2) is 100 C We have to find...
45 g of water at 50o C in a beaker is cooled when 50 g of copper at 18oC is added to it. The contents are stirred till a final constant temperature is reached. Calculate the final temperature. The specific heat capacity of copper is 0.39 J g-1 K-1 and that of water is 4.2 J g-1 K-1. State the assumptions used.
Solution: According to the question, Mass of water (m1) is 45 g Temperature of water (T1) is 500 C Mass of copper (m2) is 50 g Temperature of copper (T2) is 180 C We have to find the final...
A mass of 50 g of a certain metal at 150° C is immersed in 100 g of water at 11° C. The final temperature is 20° C. Calculate the specific heat capacity of the metal. Assume that the specific heat capacity of water is 4.2 J g-1 K-1.
Solution: According to the statement, mass of the metal is 50g and the change in temperature is equal to (150 – 20) Then using the expression for heat energy, we have - Heat lost by metal = m × s ×...
0.5 kg of lemon squash at 30o C is placed in a refrigerator which can remove heat at an average rate of 30 J s-1. How long will it take to cool the lemon squash to 5o C? Specific heat capacity of squash = 4200 J kg-1 K-1.
Solution: According to the question, Change in temperature = 30 – 5 = 25 K We know that the expression for heat energy is => △Q = mc△T Substituting values, we get △Q = 0.5 × 4200 × 25 = 52500 J Heat...
An electric heater of power 600 W raises the temperature of 4.0 kg of a liquid from 10.0 0C to 15.0 0C in 100 s. Calculate:
(i) the heat capacity of 4.0 kg of liquid, and (ii) the specific heat capacity of liquid Solution: According to the statement, Power (P) of heater is 600 W Mass (m) of liquid is 4.0 kg Change in...
Find the time taken by a 500 W heater to raise the temperature of 50 kg of material of specific heat capacity 960 J kg-1 K-1, from 18oC to 38oC. Assume that all the heat energy supplied by heater is given to the material.
Solution: According to the question, we have - Specific heat capacity (c) of the material is 960 J kg-1 K-1 Change in temperature becomes △T = (38 – 18)0 C = 200 C or, △T = 20 K (temperature...
1300 J of heat energy is supplied to raise the temperature of 0.5 kg of lead from 20oC to 40oC. Calculate the specific heat capacity of lead.
Solution: According to the question, Heat energy supplied is 1300 J and the mass of lead is 0.5 kg Also the change in temperature is (40 – 20)0 C = 200 C Expression for specific heat capacity of...
Calculate the amount of heat energy required to raise the temperature of 100 g of copper from 20oC to 70oC. Specific heat of capacity of copper =390 J kg-1 K-1.
Solution: According to the question, Mass of copper m is 100 g = 0.1 kg Change of temperature is △t = (70 – 20)0 C = 500 C Also the specific heat capacity of copper is 390 J kg-1 K-1 Expression for...
A piece of iron of mass 2.0 kg has a heat capacity of 966 J K-1. Find
(i) Heat energy needed to warm it by 15oC, and (ii) Its specific heat capacity in S.I unit. Solution: (i) We know that the heat energy required is given by the product of heat capacity and...
(a)Calculate the heat capacity of a copper vessel of mass 150 g if the specific heat capacity of copper is 410 J kg-1 K-1.
(b)How much heat energy will be required to increase the temperature of the vessel in part (a) from 25oC to 35oC? Solution: (a) According to the question, Mass of copper vessel is 150 g, or 0.15 kg...
By imparting heat to a body, its temperature rises by 150C. What is the corresponding rise in temperature on the Kelvin scale?
Solution: One degree on the Kelvin scale is the same size as one degree on the Celsius scale. As a result, the temperature difference or change is the same on both the Kelvin and Celsius scales. As...
The specific heat capacity of water is:
(a) 4200 J kg-1 K-1 (b) 420 J g-1 K-1 (c) 0.42 J g-1 K-1 (d) 4.2 J kg-1 K-1 Solution: The correct option is (a). The specific heat capacity of water is 4200 J...
The S.I. unit of specific heat capacity is:
(a) J kg-1 (b) J K-1 (c) J kg-1 K-1 (d) kcal kg-10C-1 Solution: The correct option is (c). The S.I. unit of specific heat capacity is J kg-1 K-1
The S.I. unit of heat capacity is:
(a) J kg-1 (b) J K-1 (c) J kg-1 K-1 (d) cal 0C-1 Solution: The correct option is (b). The S.I. unit of heat capacity is J K-1.
Why the base of a cooking pan made thick and heavy?
Solution: The base of a cooking pan is thick and heavy because it has a large heat capacity, which allows it to heat up slowly and impart sufficient heat energy to the food for proper cooking. It...
(a) What is calorimeter?
(b)Name the material of which it is made of. Give two reasons for using the material stated by you. (c) Out of the three metals A, B and C of specific heat 900 J kg-1 °C-1, 380 J...
A liquid X has specific heat capacity higher than the liquid Y. Which liquid is useful as (i) coolant in car radiators and, (ii) heat reservoir to keep juice bottles without freezing?
Solution: Because liquid X has a higher specific heat capacity than liquid Y, the temperature rise for X will be smaller than for Y for the same mass and heat energy. (i) As a coolant in automotive...
Give one example each where high specific heat capacity of water is used (i) as coolant, (ii) as heat reservoir.
Solution: (i) Water is used as a coolant in automotive radiators and generators. (ii) To prevent wine and juice bottles from freezing, water is employed as a heat reservoir.
What property of water makes it an effective coolant?
Solution: The heat energy from heated sections of a machine is eliminated by allowing water to flow in pipes surrounding them. Because of its high specific heat capacity, water in pipes may extract...
Water is used in hot water bottles for fomentation. Give reason.
Solution:...
Discuss the role of high specific heat capacity of water with reference to climate in coastal areas.
Solution: Water has an extremely high specific heat capacity, around five times that of sand. As a result, the heat energy required to raise the temperature by a given mass of water is roughly five...
Why do the farmers fill their fields with water on a cold winter night?
Solution: If the air temperature drops below 0 C on a cold winter night, water in the fine capillaries of plants freezes. It causes the veins to burst due to the increase in volume of water caused...
A mass m1 of a substance of specific heat capacity c1 at temperature T1 is mixed with a mass m2 of other substance of specific heat capacity c2 at a lower temperature T2. Deduce the expression for the temperature t of the mixture. State the assumption made, if any.
Solution: According to the statement, a mass m1 of a substance A having specific heat capacity c1 at temperature T1 is mixed with a mass m2 of other substance B having specific heat capacity c2 at a...
What is the principle of the method of mixture? What other name is given to it? Name the law on which this principle is based.
Solution: The amount of heat energy lost by the hot body is equal to the amount of heat energy absorbed by the cool body. This is known as the principle of the method of mixture. The principle of...
Two blocks P and Q of different metals having their mass in the ratio 2:1 are given the same amount of heat. Their temperatures rise by the same amount, compare their specific heat capacities.
Solution: Let Cp and Cq denote the specific heat capacities of blocks P and Q respectively According to the question, the mass ratio of P and Q is 2:1. Therefore, if mass of Q is m then the mass of...
Same amount of heat is supplied to two liquids A and B. The liquid A shows a greater rise in temperature. What can you say about the heat capacity of A as compared to that of B?
Solution: The temperature rises quickly and dramatically when a substance has a low specific heat capacity. As a result, liquid A has a lower heat capacity than liquid B.
Write the expression for the heat energy Q received by m kg of a substance of specific heat capacity c J kg-1 K-1 when it is heated through △ to C.
Solution:...
Name three factors on which the heat energy absorbed by a body depends and state how does it depend on them.
Solution: The heat energy absorbed by a body is determined by three parameters. (i) Body mass: The amount of heat energy required is directly proportional to the object's mass. (ii) Increase in body...
Name the factors on which the heat energy liberated by a body on cooling depends.
Solution: Such factors on which the heat energy liberated by a body upon cooling depends are as follows: (i) Mass of that body (ii) Specific heat capacity of that body (iii) Temperature of that...
Specific heat capacity of a substance A is 3.8 J g-1 K-1 and of substance B is 0.4 J g-1 k-1. Which substance is a good conductor of heat? How did you arrive at your conclusion?
Solution: Substance B has a lower specific heat capacity than substance A. As a result, given the same mass and heat energy, B's temperature rise will be greater than A's. The lower a substance's...
What do you mean by the following statements:
(i) The heat capacity of a body is 50 JK-1? (ii) The specific heat capacity of copper is 0.4 J g-1 K-1? Solution: (i) According to the statement, the heat capacity of a body is 50 JK-. This...
Write the approximate value of specific heat capacity of water in S.I. unit.
Solution: The specific heat capacity of water is approximately 4200 J kg-1 K-1. Water is the liquid with the highest specific heat capacity. The amount of heat that one gram of a substance needs...
Name a liquid which has the highest specific heat capacity.
Solution: Water has the highest specific heat capacity. Explanation : The high heat capacity of water is due to hydrogen bonding between water molecules. Hydrogen bonds are destroyed when heat is...
State three differences between the heat capacity and specific heat capacity.
Solution: Heat Capacity (a) The quantity of heat energy necessary to elevate the temperature of the entire body by 10 degrees Celsius is known as heat capacity.(b) It is determined by the body's...
How is the heat capacity of a body related to the specific heat capacity of its substance?
Solution: The equation that links a body's heat capacity to its substance's specific heat capacity is Mass x Heat Capacity = Specific Heat Capacity
Define the term specific heat capacity and state its S.I. unit.
Solution: The amount of heat energy essential to raise the temperature of a unit mass of a substance by 10C (or 1 K) is known as the specific heat capacity of that substance. Joule per kilogram per...
Define the term heat capacity and state its S.I. unit.
Solution: The amount of heat energy required to raise its temperature by 10C or 1 K is termed as the heat capacity of a body. The S.I. unit of heat capacity is joule per kelvin (JK-1).
Define calorimetry.
Solution: Calorimetry is the measurement of the quantity of heat.
State three differences between heat and temperature.
Solution - Heat Heat is a type of internal energy created when molecules in a substance move randomly and attract each other.The joule is the SI unit of heat (J).The principle of calorimetry is used...
Define temperature and name its S.I. unit.
Solution: When two bodies of differing temperatures come into contact. Then the temperature is the quantity which dictates the direction of heat flow. Kelvin is the SI unit of temperature (K).
Define one kilo-calorie of heat.
Solution: The heat energy essential to raise the temperature of 1 kg of water from 14.50 C to 15.50 C is known as One kilo-calorie.
Define the term calorie. How is it related to joule?
Solution: The thermal energy required to increase the temperature of 1 g of water from 14.50 C to 15.50 C is equal to one calorie. The S.I. unit joule is related to the calorie in the following way:...
Name the S.I. unit of heat.
Solution: Heat is defined as the internal energy of the molecules that make up the body. When two bodies are kept in contact, it flows from the hot one to the cold one. Joule is the S.I. unit of...
Define the term heat.
Solutions: Heat is defined as the internal energy of the molecules that make up the body. When two bodies are kept in contact, it flows from the hot one to the cold one.