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\\\\(p_1)/(p_2)=(V_2)/(V_1)`

V₁=0.51 L

P₁=1.01 atm

P₂=0.78 atm

`\tt V_2=(P_1.V_1)/(P_2)\\\\V_2=(1.01* 0.51)/(0.78)\\\\V_2=0.66`