If a sample of gas occupies 400 ml at a pressure of 800 mm Hg, what will be it's volume if the pressure is reduced to 700 mm Hg

We have to calculate volume of gas at 700 mm Hg pressure.

The answer is 457.14 ml.

The pressure can be calculated by using Boyle's law. At constant temperature, for a given mass of an ideal gas pressure is inversely related to volume.

As per Boyle's law, P₁V₁ = P₂V₂, where P is pressure and V is volume of gas.

Given, P₁ = 800 mm Hg, V₁ = 400 ml and P₂ = 700 mm Hg, V₂=?

800 X 400 = 700 X V₂

So, V₂ = (800X400) / 700 = 457.14 ml