A diatomic ideal gas is heated at constant volume until its pressure is doubled. It is again heated at constant pressure until its volume is doubled. The molar heat capacity for the whole process is k

Question

A diatomic ideal gas is heated at constant volume until its pressure is doubled. It is again heated at constant pressure until its volume is doubled. The molar heat capacity for the whole process is k R where k is:

TestHub · Accepted Answer

Step 1 (isochoric): P → 2 P ⇒ T → 2 T ; Q 1 ​ = n C V ​ T = 2 5 ​ n RT . Step 2 (isobaric): V → 2 V ⇒ 2 T → 4 T ; Q 2 ​ = n C P ​ ( 2 T ) = 7 n RT . Q = 2 19 ​ n RT over Δ T = 3 T : C = n Δ T Q ​ = 6 19 R ​ , so k = 19/6 .

Physics - Heat & Thermo Question with Solution | TestHub

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