# In an airplane, a gas sample occurs at a volume of 1.5 L at 760.0 torr. Suppose, while flying, the airplane loses pressure and the volume of the gas increases to 11.40 Liters. What is the pressure in the airplane if the temperature is constant?

Jun 12, 2014

For this problem we would us the equation for Boyle's Law comparing the inverse relationship between pressure and volume when the temperature is held constant.

First we would determine ore known and unknown values from the question.

${P}_{i}$ = 760.0 torr
${V}_{i}$ = 1.5 L
${P}_{f}$ = ???
${V}_{f}$ = 11.40 L

${P}_{i} {V}_{i} = {P}_{f}$${V}_{f}$

The equation can be rearranged algebraically to
$\frac{{P}_{i} {V}_{i}}{{V}_{f}} = {P}_{f}$

$\frac{\left(760.0 t\right) \left(1.5 L\right)}{11.40 L}$ = ${P}_{f}$

${P}_{f}$ = 100. torr