An ideal gas undergoes a thermodynamic process in which internal energy (U) of the gas depends on pressure (P) of the gas as U = aP4, where a is a positive constant. Assuming gas to be monoatomic, the molar heat capacity of the gas for given process will be
An ideal gas undergoes a thermodynamic process in which internal energy (U) of the gas depends on pressure (P) of the gas as U = aP4, where a is a positive constant. Assuming gas to be monoatomic, the molar heat capacity of the gas for given process will be
Option 1 -
3R/4
Option 2 -
2R/3
Option 3 -
9R/4
Option 4 -
4R/9
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1 Answer
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Correct Option - 3
Detailed Solution:U = aP?
PV/ (γ-1) = aP?
P? ³V = a (γ - 1)
PV? ¹? ³ = constant
Comparing with PV? = constant
x = -?
C = R/ (γ-1) + R/ (1-x) = R/ (5/3 - 1) + R/ (1 +? ) = 3R/2 + 3R/4
C = 9R/4
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