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The temperature of an ideal gas is incre...

The temperature of an ideal gas is increased from `27^(@)C to 127^(@)C`, the percentage increase in `V_(rms)` is [2013]

A

0.37

B

0.11

C

0.33

D

`15.5`%

Text Solution

Verified by Experts

The correct Answer is:
D
We know, `v_(rms)=sqrt(3RT)/(M)`
`rArr`%increse in
`v_(rms)=sqrt((3RT_(2))/(M)-sqrt(3RT_(1)/(M))/sqrt(3RT_(1))/(M)xx100`
`=sqrt(T_(2)-sqrt(T_(1))/(sqrt(T_(1))xx100`
`=sqrt((400)-sqrt(300))/sqrt(300)xx100`
`=(20-17.32)/(17.32)xx100`
=15.5%
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Knowledge Check

  • The temperature of an ideal gas is increased from 27^(@)C to 127^(@)C , then percentage increase in v_("rms") is

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

  • The temperature of an ideal gas increases in an:

    A
    adiabatic expansion
    B
    isothermal expansion
    C
    adiabatic compression
    D
    isothermal compression

  • When the temperature of an ideal gas is increased from 27^@C to 927^@C , the kinetic energy will be

    A
    same
    B
    eight times
    C
    four times
    D
    twice.