In an isothermal process on an ideal gas, the pressure increases by 0.5%. The volume decreases by about

Question

Philoid · Accepted Answer

Let the initial values of pressure and volume be P₁ and V₁, and let the final values of pressure and volume be P₂ and V₂.

Now for an isothermal process, PV = constant .. (i)

This gives us: P₁V₁ = P₂V₂.. (ii)

Since the pressure increases by 0.5%, the new pressure is

Substituting this value in (ii) :

P₁V₁ = 1.005P₁V₂

=> .

Hence, the volume decreases by (1-0.995) = 0.005 = 0.5%

Hence, the correct option is (b).