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MCQ Solution: States of Matter

A sample of gas occupies 300 dm3 at 27oC and 750 pressure. What contraction in volume takes place, when the gas is cooled to - 33oC at 750 mm pressure?

1)  120 dm3

2)  240 dm3

3)  60 dm3

4)  No change in volume

SOLUTION

At constant pressure, V1 /T1 = V2 /T2 ; 

V1 = 300 dm3 ; 

V2 = ?, T1 = 300K, T2 = 273 – 33 = 240 K; 

V2 = (V1 /T1 ).T2 = (300/300) ´ 240 = 240 dm

 decrease in volume = 300 – 240 = 60 dm

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