Question

How many balloons of capacity 0.25dm3 at 1atm pressure can be filled from a hydrogen gas cylinder of 5dm3 capacity at 10atm? 
a) 50                  b)90                  c)180                d)200

Answer 1

We will Boyle’s law for relationship between volume and pressure.

PV = k

Where :

P = Pressure

V = Volume

k = Constant

Lets get PV for each :

Balloon :

0.25 × 1 = 0.25...... k₁

Gas cylinder :

5 × 2 = 10......... k₂


To get the number n of the balloons the cylinder can supply we get :

k₂ / k₁ = n

10 / 0.25 = 200

The answer is 200 balloons.

Answer 2

p1v1=p2v2

1×v1 = 10 ×5

v1 = 50L