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What will be the minimum pressure required to compress 500 dm3 of air at 1 bar to 200 dm3 at 30°C?
What will be the minimum pressure required to compress 500 dm3 of air at 1 bar to 200 dm3 at 30°C?
CBSE | Chemistry | Exercise 1 | NCERT | States of Matter
What will be the minimum pressure required to compress 500 dm3 of air at 1 bar to 200 dm3 at 30°C?

Solution:

\[\begin{array}{*{35}{l}}

~P1\text{ }=\text{ }1\text{ }bar  \\

P2\text{ }=\text{ }?  \\

~V1=\text{ }500\text{ }dm3  \\

V2=200\text{ }dm3  \\

\end{array}\]

As temperature stays steady at 30°C,

\[\begin{array}{*{35}{l}}

P1V1=P2V2  \\

~  \\

1\text{ }bar\text{ }x\text{ }500\text{ }dm3\text{ }=\text{ }P2\text{ }x\text{ }200\text{ }dm3\text{ }or\text{ }P2=500/200\text{ }bar=2.5\text{ }bar  \\

\end{array}\]

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