Gas Laws Chemistry Example 2

Follow the full solution, then compare it with the other examples linked below.

medium

Use the ideal gas law to find the volume occupied by

2.0

mol of gas at

25°\text{C}

and

1.0\,\text{atm}

. (

R = 0.0821\,\text{L·atm/mol·K}

)

1
Convert temperature: $T = 25 + 273 = 298\,\text{K}$ .
2
Use $PV = nRT$ : $V = \frac{nRT}{P} = \frac{2.0 \times 0.0821 \times 298}{1.0}$ .
3
$V = \frac{48.93}{1.0} = 48.9\,\text{L}$ .

Answer

V = 48.9\,\text{L}

The ideal gas law

PV = nRT

unifies all the individual gas laws (Boyle's, Charles's, Avogadro's) into one equation. Always convert temperature to Kelvin.

About Gas Laws

A set of mathematical relationships that describe how the pressure, volume, temperature, and amount (moles) of a gas are interconnected.

A gas occupies [formula] at [formula]. What is its volume at [formula] (constant temperature)?

A gas at [formula] occupies [formula]. What volume does it occupy at [formula] (constant pressure)?

A gas occupies [formula] L at [formula] atm. If the pressure increases to [formula] atm at constant