Question

A gas is to be filled from a tank of capacity 10,000 litres into cylinders each having capacity of 10 litres. The condition of the gas in the tank is as follows:

1. The pressure inside the tank is 800 mm of Hg.
2. The temperature inside the tank is −3°C.

When the cylinder is filled, the pressure gauge reads 400 mm of Hg and the temperature is 270 K. Find the number of cylinders required to fill the gas.

Answer 1

V₁ = 10,000 L

P₁ = 800 mm of Hg

P₂ = 400 mm of Hg

T₁ = −3°C + 273 = 270 K

T₂ = 270 K

V₂ = ?

Applying the gas equation,

`("P"_1"V"_1)/"T"_1 = ("P"_2"V"_2)/"T"_2`

V₂ = `("P"_1"V"_1)/"P"_2`

= `(800 xx 10,000  "L")/(400)`

= 20,000 L

Number of cylinders = `"V"_2/"Volume of one cylinder"`

= `(20,000)/10`

= 2000 cylinders