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Question: The temperature of the gas is raised from \(27 ^ { \circ } \mathrm { C }\) to \(927 ^ { \circ } \...

The temperature of the gas is raised from 27C27 ^ { \circ } \mathrm { C } to 927C927 ^ { \circ } \mathrm { C } , the root mean square velocity is.

A

927/27\sqrt { 927 / 27 } times the earlier value

B

Same as before

C

Halved

D

Doubled

Answer

Doubled

Explanation

Solution

U2=U1T2T1=U11200300=U1×2U _ { 2 } = U _ { 1 } \sqrt { \frac { T _ { 2 } } { T _ { 1 } } } = U _ { 1 } \sqrt { \frac { 1200 } { 300 } } = U _ { 1 } \times 2

r.m.s. velocity will be doubled.