Verified Solution • 2025–26 Session moderate

QPages 76-77: Q3: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 76-77: Q3 Solution

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often treat $C_p-C_v=R$ as a universal identity and ignore that for real gases the difference deviates from $R$, increasing with pressure and decreasing with temperature. Remember: a larger $C_p-C_v$ value indicates both higher pressure *and* lower temperature relative to a state with a smaller value.

The value of Cp−CvC_p - C_v is 1.00 R for a gas sample in state A and 1.08 R in state B. Let pAp_A and pBp_B denote the pressures and TAT_A and TBT_B denote the temperatures of the states A and B, respectively. It is most likely that

Multiple Choice Options

  • A pA<pBp_A < p_B and TA>TBT_A > T_B
  • B pA>pBp_A > p_B and TA<TBT_A < T_B
  • C pA=pBp_A = p_B and TA<TBT_A < T_B
  • D pA>pBp_A > p_B and TA=TBT_A = T_B

Step-by-Step Verified Solution

**Answer:** (a) p_A < p_B and T_A > T_B. **Step-by-Step Explanation:** C_p - C_v = R for ideal gas. The deviation from R increases with pressure and decreases with temperature. So state A has lower pressure and higher temperature.

All Questions in this Chapter

QPage 76: Q1 QPage 76: Q2 QPage 76: Q3 QPage 76: Q4 QPage 76: Q5 QPage 76: Q6 QPage 76: Q7 QPage 76: Q8 QPage 76: Q9 QPage 76: Q10 QPage 77: Q1 QPage 77: Q2 QPage 77: Q3 QPage 77: Q4 QPage 77: Q5 QPage 77: Q6 QPage 77: Q7 QPages 76-77: Q1 QPages 76-77: Q2 QPages 76-77: Q3 QPages 76-77: Q4 QPages 76-77: Q5 QPages 76-77: Q6 QPages 76-77: Q7 QPages 76-77: Q8 QPages 76-77: Q9 QPages 76-77: Q10 QPages 76-77: Q11 QPages 76-77: Q12 QPages 76-77: Q13 QPages 77-80: Q1 QPages 77-80: Q2 QPages 77-80: Q3 QPages 77-80: Q4 QPages 77-80: Q5 QPages 77-80: Q6 QPages 77-80: Q7 QPages 77-80: Q8 QPages 77-80: Q9 QPages 77-80: Q10 QPages 77-80: Q11 QPages 77-80: Q12 QPages 77-80: Q13 QPages 77-80: Q14 QPages 77-80: Q15 QPages 77-80: Q16 QPages 77-80: Q17 QPages 77-80: Q18 QPages 77-80: Q19 QPages 77-80: Q20 QPages 77-80: Q21 QPages 77-80: Q22 QPages 77-80: Q23 QPages 77-80: Q24 QPages 77-80: Q25 QPages 77-80: Q26 QPages 77-80: Q27 QPages 77-80: Q28 QPages 77-80: Q29 QPages 77-80: Q30 QPages 77-80: Q31 QPages 77-80: Q32 QPages 77-80: Q33 QPages 77-80: Q34 QPages 77-80: Q35

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Specific Heat Capacities of Gases
Reference Textbook Solutions
Explore complete chapter exercises for HC Verma: Concepts of Physics - Volume 2
Competitive PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring