Question

If I add 24,059 J of energy to an ideal gas inside a balloon, causing the internal energy to increase by 7,851 J, how much work is done on the environment by the gas as the balloon expands?

Answer 1

The energy provided to the closed system is Q = 24059 J

The change in internal energy is

$\Delta U=7851\text{ J}$

Let the work done be denoted by W

According to the first law of thermodynamics,

$W=Q-\Delta U$

Substituting the given values, the work done will be

$W=16208\text{ J}$

The work done will be 16208 J.