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Question: An ideal gas has volume \(V _ { 0 }\) at \(2 V _ { 0 }\) The final temperature is...

An ideal gas has volume V0V _ { 0 } at 2V02 V _ { 0 } The final temperature is

A

B

C

327∘C327 ^ { \circ } \mathrm { C }

D

150 K

Answer

327∘C327 ^ { \circ } \mathrm { C }

Explanation

Solution

T2T1=V2V1=2⇒T2=2×T1=2×300=600 K=327∘C\frac { T _ { 2 } } { T _ { 1 } } = \frac { V _ { 2 } } { V _ { 1 } } = 2 \Rightarrow T _ { 2 } = 2 \times T _ { 1 } = 2 \times 300 = 600 \mathrm {~K} = 327 ^ { \circ } \mathrm { C }