A gas is contained in closed vessel. The initial temperature of the gas is 100^ C . If the pressure of the gas is increased by 4 % , the increase in the temperature of the gas is

Step-by-step solution

Given: - Initial temperature T₁=100^ C =373 ~K , - Pressure increases by 4 %: P₂=P₁+0.04 P₁=1.04 P₁ . Formula: From the ideal gas equation P V=n R T , at constant volume: gathered T₂ T₁ = P₂ P₁ T₂=T₁ P₂ P₁ gathered Substitute the values: gathered T₂=373 1.04 P₁ P₁ =373 1.04 T₂=387.92 ~K gathered Increase in Temperature: T=T₂-T₁=387.92-373=14.92 ~K 15^ C Answer: 4 % C , Option 3.