# A gas sample of Xe occupies 10-liter balloon at 27°C under a pressure of 1.2 atm. Approximately what volume would the gas occupy at 350 K at 2 atm of pressure?

May 25, 2016

The gas would occupy approximately 7 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

${P}_{1} = \text{1.2 atm"; V_1 = "10 L"; T_1 = "(27 + 273.15) K" ="300.15 K}$
${P}_{2} = \text{2 atm";color(white)(m) V_2 = "?";color(white)(ml) T_2 = "350 K}$
V_2 = V_1 × P_1/P_2 × T_2/T_1 = "10 L" × (1.2 color(red)(cancel(color(black)("atm"))))/(2 color(red)(cancel(color(black)("atm")))) × (350 color(red)(cancel(color(black)("K"))))/(300.15 color(red)(cancel(color(black)("K")))) = "7 L"