Air is being forced in a cylinder with an initial volume of 0.025 m^3 under a constant pressure of 3.0*10^5 Pa. The volume of the air in the cylinder is increased to 0.035 m^3.

a. The cylinder is thermally insulated, making the process adiabatic. What is the change in the internal energy of the gas?

To calculate the change in the internal energy of the gas during an adiabatic process, we can use the first law of thermodynamics, which states that the change in internal energy of a system is equal to the work done on (or by) the system.

In this case, since the cylinder is thermally insulated, there is no heat transfer between the gas and its surroundings, so the process is adiabatic. Therefore, the change in internal energy will be equal to the work done on the gas.

The work done on the gas can be calculated using the formula:

W = P * (V_final - V_initial)

Where W is the work done, P is the constant pressure, and (V_final - V_initial) is the change in volume.

Plugging in the given values:

W = (3.0 * 10^5 Pa) * (0.035 m^3 - 0.025 m^3)

W = (3.0 * 10^5 Pa) * (0.01 m^3)

W = 3000 J

Therefore, the change in internal energy of the gas is 3000 Joules.