Question

A quantity of gas in a piston cylinder has a volume of 4.367 m and a pressure of 200 Pa. The piston compresses the gas to 0.218 m° in an isothermal (constant-temperature) process What is the final pressure of the gas?

Answer 1

743.108 Pa.

Step-by-step explanation:

We can use the ideal gas law, P1V1/T1 = P2V2/T2, to solve for the final pressure. P1 is initial pressure, V1 is initial volume, and T1 is initial temperature. P2 is final pressure, V2 is final volume, and T2 is final temperature.

1. Initial conditions:

P1 = 200 Pa, V1 = 4.367m^3, T1 = 300 K

2. Final conditions:

V2 = 0.218m^3, T2 = 300 K

Using the gas law:

P2/T2 = (P1V1)/T1

P2V2 = (P1V1)T2/T1

P2 = (200*4.367) * (300/300) / (0.218)

P2 = 743.108 Pa

Therefore, the final pressure of the gas is 743.108 Pa.