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The specific heats of an ideal gas at co...

The specific heats of an ideal gas at constant pressure and constant volume are `525J//kg-.^(@)C` and `315J//kg-.^(@)C` respectively. Its density at NTP is

A

`1.77 kg//m^(3)`

B

`0.77 kg//m^(3)`

C

`1.77 g//m^(3)`

D

`0.77 g//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
a. `C_(P) - C_(v) = (R )/(M) = (PV)/(T M) = (P)/(Td)`
`:. d = (P)/(T(C_(P) - C_(v)))`
`= (1.013 xx 10^(5))/(273 (525 - 315)) = 1.77 Kg//m^(3)`
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