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Question

Question: A perfect gas at 27°C is heated at constant pressure so as to triple its volume. The temperature of ...

A perfect gas at 27°C is heated at constant pressure so as to triple its volume. The temperature of the gas will be

A

81°C

B

900°C

C

627°C

D

450°C

Answer

627°C

Explanation

Solution

VTV \propto TŽ V1V2=T1T2\frac{V_{1}}{V_{2}} = \frac{T_{1}}{T_{2}} Ž V3V=(273+27)T2\frac{V}{3V} = \frac{(273 + 27)}{T_{2}}

Ž T2=900KT_{2} = 900K ® 627°C [\becauseT(K) = 273 + t°C]