Question

If a gas in the above system has a volume of V at a pressure of P, what is the volume of the same gas at a pressure of 4p

Answer 1

Answer:

0.25

It's right since it's from ck12

Answer 2

The final Volume would be one by fourth of the initial volume by compression if the temperature remains constant.

Volume after changing pressure at a constant temperature

• We know initial pressure = P
• Later = 4P

By the Charles and Boyles law from the ideal gas equation:

$\frac{P_1 \times V_1}{T_1} = \frac{P_2\times V_2}{T_2}$

If the pressure will is 4 times the beginning pressure at constant temperature:

$P \times V_1 = 4P \times V_2\\\frac{V_1}{V_2} = \frac{4P}{P} \\\frac{V_1}{4} =V_2$

The final Volume would be one by fourth of the initial volume by compression if the temperature remains constant.

Learn more about the Ideal gas equation:

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