Question

Two ideal gases A and B having the same temperature T, same pressure P and same volume V, are mixed together. If the temperature of mixture is kept constant and the volume occupied by the mixture is reduced to `"V"/2`, then the pressure of the mixture will become ______.

Options

• 4P

• 2P

• P

• `"P"/2`

Answer 1

Two ideal gases A and B having the same temperature T, same pressure P and same volume V, are mixed together. If the temperature of mixture is kept constant and the volume occupied by the mixture is reduced to `"V"/2`, then the pressure of the mixture will become 4P.

Explanation:

Initially P₁ = P

V₁ = V + V = 2V

Finally P₂ = P₁V₂ = `"V"/2`

P₁V₁ = P₂V₂

`"P"_2 = ("P"_1"V"_1)/"V"_2 = ("P" xx 2"V")/("V"/2)` = 4P