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A monoatomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant and equals to 1, what is the molar heat capacity of the gas.
 
a. 4R/2
b. 3R/2
c. 5R/2
d. 0

Asked by anirbanbag81 8th December 2017, 9:13 AM
Answered by Expert
Answer:
space space space straight P subscript 1 straight V subscript 1 space equals space RT

space space space straight C subscript straight v space equals space 3 over 2 straight R

space space space space straight P over straight V equals space 1

therefore space straight P space equals space straight V

dq space equals space space space straight C subscript straight v dT space plus space pdV

For space 1 space mole space of space gas space
PV equals Rt
On space differentiating comma
PdV plus VdP equals RdT

therefore space 2 pdV space equals RdT

space space space space space pdV equals RdT over 2

therefore space dq equals space straight C subscript straight v dT plus RdT over 2

space space space space space space space space space space space equals space space 3 over 2 straight R space plus RdT over 2

space space space space space space space space space space space space space space space equals space fraction numerator 4 straight R over denominator 2 end fraction
Answered by Expert 8th December 2017, 11:38 AM
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