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What would be the effect on the rms spee...

What would be the effect on the rms speed of gas molecules if the temperature of the gas is increased by a factor of 4?

Text Solution

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We know rms speed , `c=sqrt((3RT)/M) therefore c prop sqrt T`
Now, `c_1/c_2=sqrt(T_1/T_2)=sqrt(T_1/(4T_1))=1/2[si nce T_2=4T_1]`
or, `c_2=2c_1`
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Knowledge Check

  • Temperature of an ideal gas increases in

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

  • The rms speed of gas molecules at 0^@C . Will be reduced to half at

    A
    `0^@C`
    B
    `273^@C`
    C
    `32^@C`
    D
    `204^@C`

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