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Compressing a sample of hydrogen gas to one half its initial volume will have what effect on its pressure?

Respuesta :

Vroomstick
By Boyle's Law pV = constant, halfing the volume would require doubling the pressure to maintain the constant. Hence, pressure doubles.
sebassandin

Answer:

The pressure will double

Explanation:

Hello,

In this case, by considering the Boyle's law which allows us to understand the pressure-volume behavior of a gas in an inversely proportional relationship:

[tex]P_1V_1=P_2V_2[/tex]

It is said that the volume gets halved, thus:

[tex]V_2=\frac{1}{2}V_1[/tex]

In such a way the pressure will result in:

[tex]P_2=\frac{P_1V_1}{V_2} =\frac{P_1V_1}{\frac{1}{2} V_1} \\\\P_2=2P_1[/tex]

Therefore, the pressure will double.

Best regards.

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