Simultaneous doubling of the absolute temperature of a gas and reduction of its pressure to half, will result in __________ in the volume of the gas.

Answer: Option D

According to the ideal gas law, for a fixed amount of gas:

PV = nRT

Since the amount of gas (n) and gas constant (R) stay constant, the relationship between volume, temperature, and pressure is:

V ∝ T/P

You are doubling the absolute temperature (T₂ = 2T₁), and at the same time reducing the pressure to half (P₂ = 0.5P₁).

So, the new volume compared to the original volume will be:

V₂/V₁ = (T₂/T₁) * (P₁/P₂)

Substituting the values gives:

V₂/V₁ = (2T₁/T₁) * (P₁/0.5P₁)

V₂/V₁ = 2 * 2 = 4

Therefore, the volume of the gas will experience a four fold increase, not just doubling.