Question

What is the final temperature of the piston when it is initially evacuated?

Answer 1

The final temperature of the piston when it is initially evacuated is 0 Kelvin.

Step-by-step explanation:

The final temperature of the piston when it is initially evacuated can be determined using the ideal gas law. The ideal gas law equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

1. Start with the equation PV = nRT. Since the piston is initially evacuated, the pressure P is zero.
2. Assuming the final temperature is T_final, we can rearrange the equation to solve for T_final: T_final = (PV) / (nR).
3. Since the piston is initially evacuated, the initial volume V is also zero. Therefore, the final temperature T_final will also be zero, or absolute zero.

So, the final temperature of the piston when it is initially evacuated is 0 Kelvin.