Question

Find the false statement for ideal gases:

• A. Kinetic energy of 1 mol of gas depends on mass of the gas molecule.
• B. Kinetic energy increases with increase in temperature.
• C. Kinetic energy of 1 g of \( \text{H}_2 \) is higher than that of 8 g of \( \text{O}_2 \) at the same temperature.
• D. At a given temperature, kinetic energy does not depend on the pressure of the gas.

Hint:

For ideal gases, kinetic energy depends only on temperature, not on the nature or mass of gas molecules.

Answer 1

The Correct Option is A

For an ideal gas, average kinetic energy per molecule or per mole depends only on temperature, not on mass.
\[ E = \frac{3}{2} kT \quad \text{(per molecule)}, \quad E = \frac{3}{2} RT \quad \text{(per mole)} \] So, statement (1) is false. The others are true.