1.

C_(V)andC_(P) denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

Answer»

`C_(P)-C_(V)` is larger for a DIATOMIC ideal gas than for a monoatomic ideal gas
`C_(P)+C_(V)` is larger for a diatomic ideal gas than for a monoatomic ideal gas
`C_(P)//C_(V)` is larger for a diatomic ideal gas than for a monoatomic ideal gas
`C_(P).C_(V)` is larger for a diatomic ideal gas than for a monoatomic ideal gas

Solution :For monoatomic gas, `C_(V)=(3)/(2)R,C_(P)=(5)/(2)R` and for diatomic gas, `C_(V)=(5)/(2)R,C_(P)=(7)/(2)R`
`C_(P)-C_(V)=R` (for all GASES).
`C_(P)+C_(V)=4R` (for monoatomic gases),
`C_(P)+C_(V)=6R` (for diatomic gases)
`(C_(P))/(C_(V))=(5)/(3)=1.67` (for monoatomic gases),
`(C_(P))/(C_(V))=(7)/(5)=1.4` (for diatomic gases)
`C_(P)xxC_(V)=(15)/(4)R^(2)` (for monoatomic gases)
`C_(P)xxC_(V)=(35)/(4)R^(2)` (for diatomic gases)


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