Final answer:
To find the molar mass of the unknown gas, you can use the ideal gas law equation, PV = nRT. Rearrange the equation to solve for n, and then divide the mass of the unknown gas by the number of moles to find the molar mass.
Step-by-step explanation:
In order to find the molar mass of the unknown gas, we can use the ideal gas law 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. Rearranging the equation to solve for n, we get: n = PV / RT.
Plugging in the given values, we have: n = (0.44 atm)(1.5 L) / [(0.0821 L·atm/mol·K)(50 + 273 K)].
Calculating n gives us 0.027 mol. To find the molar mass, we divide the mass (in grams) of the unknown gas by the number of moles. In this case, 0.50 grams / 0.027 mol gives us a molar mass of 18.5 g/mol for the unknown gas.