Question

A certain mass of gas occupied 850 ml at a pressure of 760 mm of Hg. On increasing the pressure it was found that the volume of the gas was 75% of its initial value. Assuming constant temperature, find the final pressure of the gas?

Answer 1

V₁ = 850 ml

V₂ = `850 xx 75/100 = (850 xx 3)/4` ml

P₁ = 760 mm of Hg

P₂ = ?

At constant temperature P₁V₁ = P₂V₂

∴ P₂ = `("P"_1"V"_1)/"V"_2`

`= (760 xx 850 xx 4)/(850 xx 3)`

P₂ = `3040/3 = 1013.33` mm of Hg