Final answer:
To calculate the molar mass of a gas, use the ideal gas law equation PV = nRT. Rearrange the equation to solve for n, and then solve for the molar mass using the given values for mass, volume, temperature, and pressure.
Step-by-step explanation:
To calculate the molar mass of a 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 ideal gas constant, and T is the temperature.
Rearranging the equation to solve for n, we have n = PV/RT. Given that the sample has a mass of 5.80g, we can convert the mass to moles using the molar mass of the gas.
To convert the volume to liters, we divide by 1000. Then we can substitute the values into the equation to solve for the molar mass: molar mass = (mass/RT) * (V/T).
Using the given values: mass = 5.80g, volume = 0.575L, temperature = 30°C, and pressure = 985 torr, we can convert the temperature to Kelvin by adding 273.15. We also need the ideal gas constant, which is 0.0821 L·atm/mol·K.
Plugging the values into the equation, we have: molar mass = (5.80g / (0.0821 L·atm/mol·K * (30°C + 273.15))) * (0.575L / (30°C + 273.15)). Solving this equation will give us the molar mass of the gas.