Final answer:
To calculate the molar mass of an unknown gas using ideal gas law, we need to convert given units to standard units, use PV = nRT to find the number of moles, and then divide the gas mass by the number of moles.
Step-by-step explanation:
To determine the molar mass of an unknown gas using the ideal gas law, we apply the formula PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin. The first step is to convert all measurements to standard units: volume should be in liters (L), pressure in atmospheres (atm), and temperature in Kelvin (K). For this calculation, convert 655 mmHg to atm, 152 ml to liters, and 100.0 °C to Kelvin. Using the ideal gas law, solve for n (number of moles) and then use the mass of the gas divided by the number of moles to find the molar mass.
The calculation for molar mass (M) would look like this: M = (mass of gas)/(n). The mass of the gas is given as 0.080 grams, and n is calculated from the ideal gas equation. Since we have all the necessary values, we can now find the molar mass of the unknown gas.