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Question

The values of specific heats Cp and Cv for a gas are 1.00 kJ/ kgK and 0.75 kJ/ kgK respectively. The density of this gas in kg/m3 at 27°C and 1 bar absolute pressure is

A
1.25
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B
1.12
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C
1.33
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D
1.5
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Solution

The correct option is C 1.33
cp=1kJ/kgK

cv=0.75kJ/kgK

T=27oC=(27+273)K=300K

p=1bar=100kPa

Gas constant: R=cpcv

Applying equation of state in term of density,

p=ρRT

100=ρ×0.25×300

1=0.75ρ

or ρ=10.75=10075=1.33kg/m3

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