Two ideal gases, a and b, are at the same temperature. if the molecular mass of the molecules in gas a is twice that of the molecules in gas b, the molecules' root-mean-square speed is?

Respuesta :

The molecules' root-mean-square speed is R = 8.31 J/(mole⋅ K)

Thermal Motion:

Molecules in any object are in constant motion, the speed of that motion being defined by the temperature of the thing . just in case of ideal gases, the speed of motion is that the function of the temperature and the molar mass of the gas only.

Evaluation :

The root mean square speed of the molecules in the gas is given by:  vrms =√3 RT/M

Here,

T is the temperature of the gas;

R = 8.31 J/(mole⋅ K) is the universal gas constant;

M is the molar mass of the gas;

Since the molecular mass of the gas A is twice as large and therefore the speed is inversely proportional to the square root of the molar mass, the speed of molecules in B is bigger by the factor √2 ≈ 1.4

What is molar mass?

The molar mass (symbol M, SI unit kg·mol−1) is defined because the mass per unit amount of substance of a given chemical entity. keep with the definition of the mole, the chemical entity in question should be specified

What is molar mass and mole?

The molar mass of a substance is defined because the mass of 1 mol of that substance, expressed in grams per mole, and is adequate to the mass of 6.022 × 10²³ atoms, molecules, or formula units of that substance

Learn more about molar mass :

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