Final answer:
The molar mass of a gas is calculated using the ideal gas law equation by first converting all measurements to SI units, solving for the number of moles, and then dividing the mass of the gas by the number of moles.
Step-by-step explanation:
The molar mass of a gas can be determined using the ideal gas law equation, which is 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 in Kelvin. To find the molar mass (M), we first need to convert all the given units to the appropriate SI units and then rearrange the ideal gas law to isolate n and then calculate M using the formula M = mass/n.
First, convert the temperature to Kelvin and the pressure to atmospheres if necessary. Then, substitute the known values into the ideal gas law equation to solve for the number of moles (n). Finally, find the molar mass by dividing the given mass of the gas by the calculated number of moles.
Example Calculation:
For Freon-11, with a mass of 0.597 g, volume of 100 cm³ (converted to liters), temperature of 95°C (converted to Kelvin), and pressure of 1000 mmHg (converted to atm), we can calculate the molar mass as follows: