1) A sample of gas is in a cylinder with a moveable piston. The

force on the piston can be varied, altering the pressure and
volume. A sample of gas is taken from an initial state to a final
state following a curve on a pV diagram at right (vertical line). The final
temperature is
a. higher than the initial temperature.
b. the same as the initial temperature.
c. lower than the initial temperature.

A. Higher than the initial temperature

The answer is on Google.

Isn't this the same as the ones I deleted and the ones that are still posted?

I removed his answer. It's clear he's posting these so others can cheat.

Once more, and he'll be on time out -- or banned.

To determine the final temperature of the gas, we need to understand the gas laws and analyze the given pV diagram.

The ideal gas law states that the pressure (P), volume (V), and temperature (T) of a gas are related by the equation PV = nRT, where n is the number of moles of gas and R is the ideal gas constant. This equation can be rearranged as follows: P/T = nR/V.

Looking at the given pV diagram, we see that the curve traced by the sample of gas is a vertical line. This indicates that the volume (V) remains constant throughout the process. Therefore, the gas law equation can be simplified as P/T = constant.

Since the pressure (P) can be varied and the volume (V) is constant, the temperature (T) must also change accordingly to maintain the constant ratio. If the pressure increases (moves up on the pV diagram), the temperature must also increase to keep the ratio constant. Conversely, if the pressure decreases (moves down on the pV diagram), the temperature must decrease to keep the ratio constant.

In this case, the sample of gas is taken from an initial state to a final state following a vertical line on the pV diagram. Because the volume remains constant, and the gas law equation dictates that the pressure and temperature are directly proportional, we can conclude that the final temperature will be the same as the initial temperature.

Therefore, the answer is b. the same as the initial temperature.