Question

A sample of helium has a volume of 5 liters at a pressure of 300 torr. What volume does the gas occupy at 500 torr?

Answer 1

The final volume of the gas is 3 L

Explanation:

We can solve this problem by applying Boyle's law, which states that:

"For a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

$PV=const.$

where

P is the pressure of the gas

V is its volume

The equation can also be rewritten as

$P_1 V_1 = P_2 V_2$

For the sample of helium in this problem, we have:

$P_1 = 300 torr$

$V_1 = 5 L$

$P_2 = 500 torr$

Solving the equation, we can find $V_2$, the final volume of the gas:

$V_2 = \frac{P_1 V_1}{P_2}=\frac{(300)(5)}{500}=3 L$

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