Question

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answer 1

V₂ = 450 cm³

Explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

`V\propto (1)/(P)`

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

`V_1P_1=V_2P_2\\\\V_2=(V_1P_1)/(P_2)\\\\V_2=(600* 300)/(400)\\\\V_2=450\ cm^3`

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters