Question

An ideal gas is stored in a piston-cylinder arrangement. If the piston is moved in such a way that the volume of the gas gets doubled at the constant temperature, then the pressure of the gas becomes/remains
1. Half
2. Double
3. 4 times
4. Same

Answer 1

Correct Answer - Option 1 : Half

Concept:

From the ideal gas equation we have,

PV = nRT

For isothermal condition the Right Hand Side becomes constant, so

P₁V₁ = P₂V₂

Calculation:

Given:

P₁ = P, V₁ = V and V₂ = 2V

So, from the condition of isothermal condition we have

P₁V₁ = P₂V₂

PV = P₂ × (2V)

P₂ = P/2

Hence the final pressure will become half of the initial pressure.