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Question: A certain mass of gas occupies a volume of 300 c.c. at 27C and 620 mm pressure. The volume of this g...

A certain mass of gas occupies a volume of 300 c.c. at 27C and 620 mm pressure. The volume of this gas at Vm=44.8V_{m} = 44.8 and 640 mm pressure will be

A

400 c.c.

B

510 c.c.

C

310 c.c.

D

350 c.c.

Answer

310 c.c.

Explanation

Solution

Given initial volume V2V_{2}, initial temperature P1P_{1}, initial pressure T1T_{1}, final temperature T1T_{1}and final pressure T2T_{2}.We know from the general gas equation

P1V1T1=P2V2T2\frac { P _ { 1 } V _ { 1 } } { T _ { 1 } } = \frac { P _ { 2 } V _ { 2 } } { T _ { 2 } } T12P1T2\frac{T_{1}}{2P_{1}T_{2}}2P1T2T1+T2\frac{2P_{1}T_{2}}{T_{1} + T_{2}}