High School

A sample of gas has a mass of 38.6 mg. Its volume is 222 mL at a temperature of 56°C and a pressure of 892 torr. Find the molar mass of the gas.

Answer :

Final answer:

To find the molar mass of a gas, convert all measurements to the proper units and use the rearranged form of the ideal gas law equation. Substitute the values into the equation and solve for molar mass.

Explanation:

In order to find the molar mass of the gas, one would use a rearranged form of the ideal gas law equation: PM = dRT, where P is pressure, M is molar mass, d is density, R is the ideal gas constant, and T is temperature. First, convert all measurements to the proper units (pressure in atmospheres, volume in liters, and temperature in Kelvin) and then substitute those values into the equation (remembering to convert mg to g and ml to L to find the gas's density).

Afterwards, you can calculate the molar mass of the gas by rearranging the equation to M = dRT/P. This should give you the molar mass of the gas in g/mol, which is the useful property for identification purposes.

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