HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 77-80: Q1 Solution: A vessel containing one mole of a monatomic ideal gas molecular …

QPages 77-80: Q1: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 77-80: Q1 Solution: A vessel containing one mole of a monatomic ideal gas molecular …

A vessel containing one mole of a monatomic ideal gas molecular weight =

20 \text{ g mol}^{-1}

) is moving on a floor at a speed of

50 \text{ m s}^{-1}

. The vessel is stopped suddenly. Assuming that the mechanical energy lost has gone into the internal energy of the gas, find the rise in its temperature.

Step-by-Step Verified Solution

**Answer:** Rise in temperature = 2 K. **Step-by-Step Explanation:** Given:

n = 1

mole,

M = 20

g/mol = 0.02 kg/mol,

v = 50

m/s. Kinetic energy of vessel = internal energy of gas:

\frac{1}{2}mv^2 = \frac{1}{2} \times 0.02 \times 50^2 = 25 \text{ J}

For monatomic gas,

U = \frac{3}{2}nRT

25 = \frac{3}{2} \times 1 \times 8.31 \times T \Rightarrow T = \frac{50}{24.93} \approx 2 \text{ K}

QPages 77-80: Q1: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 77-80: Q1 Solution: A vessel containing one mole of a monatomic ideal gas molecular …

Step-by-Step Verified Solution

All Questions in this Chapter

Related Learning Resources & Exam Preparation