Given below are two statements : Statements I : The temperature of a gas is – 73°C. When the gas is heated to 527°C, the root mean square speed of the molecules is doubled. Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules. In the light of the above statements, choose the correct answer from the options given below :
Options

Question

Given below are two statements : Statements I : The temperature of a gas is – 73°C. When the gas is heated to 527°C, the root mean square speed of the molecules is doubled. Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules. In the light of the above statements, choose the correct answer from the options given below :

Options

G1 Physics · Accepted Answer

T₁ = 200 K and T₂ = 800 K. Since vᵣₘₛ ∝ √T, v₂/v₁ = √(800/200) = 2, so Statement I is true. But PV = nRT whereas total translational kinetic energy = (3/2)nRT, so Statement II is false.