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When one mole of monoatomic ideal gas at...

When one mole of monoatomic ideal gas at T temperature undergoes adiabatic change under a constant external pressure of 1 atm, change in volume is from 1 L to 2L. The final temperature in kelvin would be

A

`(T)/(2^((2//3)))`

B

`T+(2)/(3xx0.0821)`

C

`T`

D

`T-(2)/(3xx0.0821)`

Text Solution

Verified by Experts

The correct Answer is:
A

`(T)/(T_("final"))=((V_(2))/(V_(1)))^(gamma-1)=((2)/(1))^((5//3-1))`
`=2^((2//3)),T_("final")=(T)/(2^((2//3)))`
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Knowledge Check

  • When one mole of monoatomic ideal gas at T K undergoes adiabatic change under a constant external pressure of 1 atm changes volume from 1 litre to 2 litre. The final temperature in Kelvin would be

    A
    `(T)/(2^((2//3)))`
    B
    `T+(2)/(3xx0.0821)`
    C
    T
    D
    `T-(2)/(3xx0.0821)`
  • When one mole of monoatomic ideal gas at T K undergoes adiabatic change under a constant external pressure of I atm and volume changes from 1 litre to 2 litre. The final temperature in Kelvin would be

    A
    `T/(2^((2//3)))`
    B
    `T+2/3xx0.0821`
    C
    T
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  • When 1mol of a monoatomic ideal gas at TK undergoes adiabatic change under a constant external pressure of 1atm , changes volume from 1 L to 2L . The final temperature (in K) would be

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    `(T)/(2^(2//3))`
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