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Question

Question: To double the volume of a given mass of an ideal gas at 27°C keeping the pressure constant, one must...

To double the volume of a given mass of an ideal gas at 27°C keeping the pressure constant, one must raise the temperature in degree centigrade to

A

54°

B

270°

C

327°

D

600°

Answer

327°

Explanation

Solution

VTV \propto T Ž V1V2=T1T2\frac{V_{1}}{V_{2}} = \frac{T_{1}}{T_{2}}Ž V2V=(273+27)T2=300T2\frac{V}{2V} = \frac{(273 + 27)}{T_{2}} = \frac{300}{T_{2}}

Ž T2=600KT_{2} = 600K = 327°C