Verified Solution • 2025–26 Session moderate

QPages 77-80: Q16: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 77-80: Q16 Solution: The volume of an ideal gas ) is changed adiabatically from 4.00 …

The volume of an ideal gas γ=1.5\gamma = 1.5) is changed adiabatically from 4.00 litres to 3.00 litres. Find the ratio of a) the final pressure to the initial pressure and b) the final temperature to the initial temperature.

Step-by-Step Verified Solution

**Answer:** (a) P2/P1=1.54P_2/P_1 = 1.54 (b) T2/T1=1.154T_2/T_1 = 1.154. **Step-by-Step Explanation:** Given: γ=1.5\gamma = 1.5, V1=4V_1 = 4 L, V2=3V_2 = 3 L. (a) Adiabatic: P1V1γ=P2V2γP_1V_1^\gamma = P_2V_2^\gamma:
P2P1=(V1V2)γ=(43)1.5=1.54\frac{P_2}{P_1} = \left(\frac{V_1}{V_2}\right)^\gamma = \left(\frac{4}{3}\right)^{1.5} = 1.54
(b) T1V1γ−1=T2V2γ−1T_1V_1^{\gamma-1} = T_2V_2^{\gamma-1}:
T2T1=(V1V2)γ−1=(43)0.5=1.154\frac{T_2}{T_1} = \left(\frac{V_1}{V_2}\right)^{\gamma-1} = \left(\frac{4}{3}\right)^{0.5} = 1.154

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