The Calculation of Molar Mass of an Ideal Gas Placed in a Tank

What is the molar mass of the ideal gas placed in the tank?

A. 32 g/mol, O2

B. 71 g/mol, C12

C. 28 g/mol, N2

D. 16 g/mol, CH4

Answer:

28 g/mol, N2

Given the data provided, the molar mass of the ideal gas that is placed in the tank is calculated to be 28 g/mol, which corresponds to nitrogen gas (N2).

To arrive at this conclusion, we utilized the formula for calculating molar mass based on the given parameters of mass, volume, pressure, and temperature of the gas in the tank.

First, we calculated the density of the gas using the formula: d = mass / volume. Substituting the values from the data, we found the density to be 1.26 g/L.

Next, we used the formula for molar mass of a gas: M = dRT / P, where R is the gas constant and T is the temperature in kelvin. By plugging in the known values and solving the equation, we determined the molar mass of the gas to be 28 g/mol, which corresponds to nitrogen gas (N2).

Therefore, the correct answer is option C: 28 g/mol, N2.

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