Question

The pressure exerted on a sample of a fixed amount of gas is doubled at constant temperature, and then the temperature of the gas in kelvins is doubled at constant pressure.
What is the final volume of the gas?

What is the final volume of the gas?

The final volume is twice the initial volume.
The final volume of the gas is one-fourth the initial volume.
The final volume of the gas is the same as the initial volume.
The final volume of the gas is four times the initial volume.
The final volume of the gas is one-half the initial volume.

Answer 1

It might be D I hope it helps

Answer 2

Answer: Option (c) is the correct answer.

Explanation:

Boyle's Law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

                 $P\propto \frac{1}{V}$     (at constant temperature and number of moles)

Charles' Law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.

                  $V\propto T$     (at constant pressure and number of moles)

So, when pressure is doubled then volume becomes one-half. But when temperature is doubled then volume will become the same as it was initially.

Thus, we can conclude that the final volume of the gas is the same as the initial volume.