The density of a gas X is 6 times the density of a gas Y. If the molecular mass of X is M then what will be the molecular mass of Y?
Correct answer: A. M/6
- A. M/6
- B. 2M
- C. 6M
- D. 6/M
Explanation
Density is defined as mass per unit volume. In this case, the density of gas X is given as 6 times the density of gas Y. Since density is directly proportional to mass, we can write the following relationship: Density of X = 6 × Density of Y Now, let's consider the molecular masses of X and Y. The molar mass of a gas is directly proportional to its density. Therefore, we can write: Molecular mass of X = 6 × Molecular mass of Y Dividing both sides of the equation by 6, we get: Molecular mass of Y = (Molecular mass of X)/6 Since the molecular mass of gas X is given as M, we can substitute this value into the equation: Molecular mass of Y = M/6 Therefore, the molecular mass of gas Y is M/6.
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About Ideal Gas Equation
The ideal gas equation, PV = nRT, relates pressure, volume, amount and absolute temperature when gas particles are assumed to have negligible volume and no intermolecular forces. Applications include finding molar mass, density or an unknown gas variable, with careful use of Kelvin temperature and consistent units, and comparison with real-gas behaviour.
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