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An ideal gas undergoes a process in whic...

An ideal gas undergoes a process in which co-efficient of volume expansion of gas `gamma`, varies with absolute temperature by the relation `gamma=(2)/(T)`. Let C is molar heat capacity in this process and `C_(p).C_(V)` are molar heat capacities at constant pressure and volume respectively. Then

A

`C=3C_(V)+2R`

B

`C=2C_(V)+2R`

C

`C=C_(V)+2R`

D

`C=C_(V)-R`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • For one mole of an ideal gas (C_(p) and C_(v) are molar heat capacities at constant presure and constant volume respectively)

    A
    `C_(p) - C_(v) = R`
    B
    `C_(p) - C_(v) = R/2`
    C
    `C_(p) - C_(v) = -2R`
    D
    `C_(p) - C_(v) = 0`

  • C_(p) and C_(v) denote the molar specific heat capacities of a gas at constant pressure and volume respectively. Then :

    A
    `C_(p)+C_(v)` is larger for a diatomic ideal gas than for a monoatomic ideal gas.
    B
    `C_(p)-C_(v)` is larger for a diatomic ideal gas ghtan for a monoatomic ideal gas.
    C
    `C_(p).C_(v)` is larger for a diatomic ideal gas than for monoatomic ideal gas.
    D
    `C_(p)//C_(v0` is larger for a diatomic ideal gas than for a monoatomic ideal gas.

  • The molar heat capacity of a gas in a process

    A
    is either `C_(V) or C_(P)`
    B
    lies between `C_(V) or C_(P)`
    C
    may range from zero to infinity
    D
    can have any real value
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