STANDARDChemistry-Kinetic Theory of Gases

STANDARD Chemistry Molecular Speeds MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The root mean square speed of the molecules of a gas is:

A

Independent of its pressure but directly proportional to its Kelvin temperature.

B

Directly proportional to the square roots of both its pressure and its Kelvin temperature.

C

Independent of its pressure but directly proportional to the square root of its Kelvin temperature.

D

Directly proportional to the square root of its pressure but independent of its Kelvin temperature.

Correct Answer

Option B

Detailed Explanation

The root mean square speed of gas molecules is given by the formula √(3RT/M), which shows that it is directly proportional to the square root of the temperature and inversely proportional to the square root of the molar mass. Thus, it is directly proportional to the square roots of both its pressure and its Kelvin temperature.

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