Question

Suppose you could suddenly increase the speed of every molecule in a gas by a factor of 2. Would the gas pressure increase by a factor of 2 1/2, 2, or 2^2?

Answer 1

The pressure will become double

Explanation:

The gas pressure is directly proportional to the mean root square velocity of the constituent molecules of gas .

P ∝ $\sqrt{\frac{C_1^2+C_2^2+C_3^2----C_n^2}{n} }$      I

Here C₁ , C₂ ------------ Cₙ is the velocities of molecules .

By making these velocities double

The pressure P₀ ∝ 2$\sqrt{\frac{C_1^2+C_2^2+C_3^2----C_n^2}{n} }$          II

By dividing II by I

P₀ = 2 P

Thus pressure will become double than its previous value