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Question

Calculate the final volume fo a gas X if the original pressure of the gas, at S.T.P. is doubled and its temperatue is increased three times.

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Solution

Assume the volume at STP to be V and Pressure to be P and temperature to be T
The number of moles of the gas X present , n = PV/RT (ideal gas equation, PV = nRT)
The second set of conditions denoted by subscript 2,
P2 = 2P
T2= 3T
V2 = nRT2/P2
Substituting the values of T2 and P2
V2 =(P×V×R×3T)/(R×T×2P)

V2 = 3 × V/2= 1.5 V

So, the final volume will be 1.5 fold the original volume.

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