# What will the volume of a sample of gas be at STP if it has a volume of 2.34 L at 45°C and 0.984 atm?

May 11, 2016

The volume will be 2.00 L.

#### Explanation:

This is an example of a Combined Gas Laws problem.

color(blue)(|bar(ul((P_1V_1)/T_1 = (P_2V_2)/T_2|)

We can rearrange this formula to get

V_2 = V_1 × P_1/P_2 × T_2/T_1

${P}_{1} \textcolor{w h i t e}{m m m m} = \text{0.984 atm"; V_1 = "2.34 L"; T_1 = "(45 + 273.15) K" ="318.15 K}$
${P}_{2} = \text{1 bar" = "0.987 atm"; V_2 = "?";color(white)(mml) T_2 = "273.15 K}$
V_2 = V_1 × P_1/P_2 × T_2/T_1 = "2.34 L" × (0.984 color(red)(cancel(color(black)("atm"))))/(0.987 color(red)(cancel(color(black)("atm")))) × (273.15 color(red)(cancel(color(black)("K"))))/(318.15 color(red)(cancel(color(black)("K")))) = "2.00 L"