Question

At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ______ g mol⁻¹ . (Nearest integer) Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H₂) gas is 2.0 g mol⁻¹)

Answer 1

The molar mass of gas A is 30 g/mol.

Step-by-step explanation:

To find the molar mass of gas A, we can use the ideal gas law. At the same pressure and volume, the number of moles of gas A and hydrogen are equal. We can use the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

Using the given information, we can set up the equation:

(0.2 g) / (2.0 g/mol) = (3.0 g) / (molar mass of gas A)

Simplifying the equation, we get (0.2)(molar mass of gas A) = (3.0)(2.0), which gives us molar mass of gas A = 30 g/mol.

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