A sample of helium has a volume of 325 mL and a pressure of 655 mm Hg. What will be the pressure if the helium is compressed to 125 mL?

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A sample of helium has a volume of 325 mL and a pressure of 655 mm Hg. What will be the pressure if the helium is compressed to 125 mL?

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Answer 1 · 2015-11-29T07:38:25

The pressure at $125 mL$ $"125 mL"$ will be $1703 mmHg$ $"1703 mmHg"$ .

Explanation:

This is an example of Boyle's law, which states that the volume of a given amount of gas at constant temperature, varies inversely with the pressure. The equation is $P_{1} V_{1} = P_{2} V_{2}$ $P_1V_1=P_2V_2$

Given/Known
Pressure 1: $655 mL Hg$ $"655 mL Hg"$
Volume 1: $325 mL$ $"325 mL"$
Volume 2: $125 m L$ $125 mL"$

Unknown
Pressure 2: $P_{2}$ $P_2$

Solution
Rearrange the equation to isolate $P_{2}$ $P_2$ and solve.

$P_{2} = \frac{P_{1} V_{1}}{V_{2}}$ $P_2=(P_1V_1)/V_2$

$P_2=((655"mm Hg"xx325cancel"mL"))/(125cancel"mL")="1703 mmHg"$

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A sample of helium has a volume of 325 mL and a pressure of 655 mm Hg. What will be the pressure if the helium is compressed to 125 mL?

1 Answer

Explanation:

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