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:
[tex]\frac{P_1 \times V_1}{T_1} = \frac{P_2\times V_2}{T_2}[/tex]
If the pressure will is 4 times the beginning pressure at constant temperature:
[tex]P \times V_1 = 4P \times V_2\\\frac{V_1}{V_2} = \frac{4P}{P} \\\frac{V_1}{4} =V_2[/tex]
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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