The volume of 400 mL of chlorine gas at 400 mm Hg is decreased to 200 mL at constant temperature. What is the new gas pressure?

Md Ariful Islam

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Md Ariful Islam

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This is an example of , which states that at constant mass and temperature, the volume of a gas is inversely proportional to the pressure.

The equation for Boyle's law is $P_1V_1=P_2V_2"$.

Given
$V_1="400 mL"$
$P_1="400 mmHg"$
$V_2="200 mL"$

Unknown
$P_2$

Solution
Rearrange the equation to isolate $P_2$. Substitute the given values into the equation and solve.

$P_1V_1=P_2V_2"$

$P_2=(P_1V_1)/V_2$

$P_2=((400"mmHg") * (400"mL"))/(200"mL")="800 mmHg"$

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