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Cv and Cp denote the molar specific heat...

`C_v and C_p` denote the molar specific heat capacities of a gas at costant volume and constant pressure, 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 than for a monatomic ideal gas

C

`C_p//C_v` is larger for a diatomic ideal gas than for a monoatomic ideal gas

D

`C_p.C_v` is larger for a diatomic ideal gas than for a monoatomic ideal gas

Text Solution

Verified by Experts

The correct Answer is:
B, D

(b,d) `
`C_p-C_v=R for all gases`
For monoatomic gas: `C_v=3/2R,C_p=5/2R,gamma=5/3`
`C_p.C_v=15/4, C_p+C_v=4`
For diatomic gas: `C_v=5/2R, C_p=7/2R, gamma=7/5`
and `C_pC_v=35/4 , C_p+C_v=6`
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Knowledge Check

  • C_(V)andC_(P) denote the molar specific heat capacities of a gas at constant volume and constant pressure, 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 than for a monoatomic ideal gas
    C
    `C_(P)//C_(V)` is larger for a diatomic ideal gas than for a monoatomic ideal gas
    D
    `C_(P).C_(V)` is larger for a diatomic ideal gas than for a monoatomic ideal gas
  • Let (C_v) and (C_p) denote the molar heat capacities of an ideal gas at constant volume and constant pressure respectively . Which of the following is a universal constant?

    A
    `C_p/ C_v`
    B
    `C_p C_v`
    C
    `C_p - C_v`
    D
    `C_p + C_v`
  • 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.
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