Question

A sealed balloon containing 0.51 L of air is carried from Toronto (P-1.01 atm) to Whistler (P=0.78 atm). What would the volume of the bag be in L) upon arrival in Whistler ?
Assume constant temperature and ideal gas behaviour.

Write your answer with 2 significant figures. Enter the number only - do not enter units.

Answer 1

The volume of the bag would be in (L) upon arrival in Whistler : 0.66

Further explanation

Boyle's Law  

At constant temperature, the gas volume is inversely proportional to the pressure applied  

$\rm p_1V_1=p_2.V_2\\\\\dfrac{p_1}{p_2}=\dfrac{V_2}{V_1}$

V₁=0.51 L

P₁=1.01 atm

P₂=0.78 atm

$\tt V_2=\dfrac{P_1.V_1}{P_2}\\\\V_2=\dfrac{1.01\times 0.51}{0.78}\\\\V_2=0.66$