# 1. An argon gas occupies 56.2 L at 760 torr. If the volume of gas is decreased to ¼ of the original volume, calculate it’s final pressure.​

1. An argon gas occupies 56.2 L at 760 torr. If the volume of gas is decreased to ¼ of the original volume, calculate it’s final pressure.​

### Boyle’s law

There are several gas equations used, with various conditions. Boyle’s law studies the relationship between the pressure and volume of a gas. If the volume of gas is decreased to ¼ of the original volume, then the final pressure = 3040 torr = 4 atm

### Further explanation

Some of the laws regarding gas, can apply to ideal gas :

1. Boyle’s law at constant T, P = 1 / V
2. Charles’s law, at constant P, V = T
3. Avogadro’s law, at constant P and T, V = n

So that the three laws can be combined into a single gas equation, the ideal gas equation

PV = nRT

In Boyle’s law, it is stated that

In a closed system, the absolute pressure by an ideal gas is inversely proportional to the volume it occupies if the temperature is constant

PV = k

So it can be stated

Given

Volume of Argon gas : V₁=56.2 L

Pressure = P₁=760 torr

V₂ = ¼ of the original volume

Required

The final pressure, P₂

Solution

V₂ = ¼ of the original volume

V₂ = ¼ x 56.2 L

V₂ = 14.05 L

Input the value in formula :

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