SATHEE: Thermodynamics Question 314

Thermodynamics Question 314

Question: A diatomic ideal gas is heated at constant volume until the pressure is doubled and again heated at constant pressure until volume is doubled. The average molar heat capacity for whole process is:

Options:

A) $\frac{13 R}{6}$

B) $\frac{19 R}{6}$

C) $\frac{23 R}{6}$

D) $\frac{17 R}{6}$

Show Answer

Answer:

Correct Answer: B

Solution:

[b]Let initial pressure, volume, temperature be $P_{0}, V_{0}, T_{0}$ indicated by state A in P-V diagram.

The gas is then isochoric ally taken to state $B (2 P_{0}, V_{0}, 2 T_{0})$

and then taken from state B to state $C (2 P_{0}, 2 V_{0}, 4 T_{0})$ isobaric ally.

Total heat absorbed by 1 mole of gas

$Δ Q = C_{v} (2 T_{0} - T_{0}) + C_{P} (4 T_{0} - 2 T_{0}) = \frac{5}{2}$

$R T_{0} + \frac{7}{2} R \times 2 T_{0} = \frac{19}{2} R T_{0}$

Total change in temperature from state A to C is $Δ T = 3 T_{0}$

$∴$ Molar heat capacity

$= \frac{Δ Q}{Δ T} = \frac{\frac{19}{2} R T_{0}}{3 T_{0}} = \frac{19}{6} R .$

Thermodynamics Question 314

Question: A diatomic ideal gas is heated at constant volume until the pressure is doubled and again heated at constant pressure until volume is doubled. The average molar heat capacity for whole process is:

Options:

Answer:

Solution:

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Thermodynamics Question 314

Question: A diatomic ideal gas is heated at constant volume until the pressure is doubled and again heated at constant pressure until volume is doubled. The average molar heat capacity for whole process is:

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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