Question

Calculate the work done to compress isothermally 1 g of hydrogen gas at N.T.P. to half its initial volume. Find the amount of heat evolved and change in internal energy. Given R = 8.31J/moleK.

Answer 1

Answer:

Can you rewrite the question please?

Answer 2

Given:

Mass of hydrogen gas = 1 gram

Value of R = 8.31 J $mol^{-1} K^{-1}$

Initial Volume = V

Final Volume = V/2

Temperature at NTP = 273 K

The process is isothermal.

To Find:

Work done to compress the gas and change in internal energy.

Solution:

Work done in an isothermal process = -2.303 RT log(Vf/Vi) = -786.3 J

The negative (-) sign depicts that the heat is evolved.

As the process is isothermal, Temperature = constant

The internal energy depends only on the change of temperature.

Therefore, Change in internal energy = Zero (0)

Hence, the amount of energy evolved is 786.3 Joules, and the change in internal energy is zero.