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Question

The temperature of an ideal gas is increased from 27C to 127C. Then, percentage increase in Vrms is

A
37%
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B
11%
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C
33%
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D
15.5%
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Solution

The correct option is D 15.5%
Given,
Initial temperature of ideal gas (T1)=27+273=300 K
Final temperature of ideal gas (T2)=273+127=400 K
We know that, vrms=3RTM
Then, % increase in vrms
=3RT2M3RT1M3RT1M×100
=T2T1T1×100
=400300300×100
=2017.3217.32×100
vrms15.5%

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