Final answer:
To calculate the molar mass of the gas, you can use the ideal gas law and the formula mass / moles. In this case, the molar mass is 44.57 g/mol.
Step-by-step explanation:
The molar mass of a gas can be calculated using the ideal gas law, which states that PV = nRT. In this equation, P represents pressure, V represents volume, n represents the number of moles, R is the gas constant, and T is the temperature. Rearranging the equation, we can solve for n (the number of moles) by dividing both sides by RT: n = PV / RT.
In the given question, the volume of the gas is 0.112 L, the temperature is 25°C (or 298 K), and the pressure is 740 mmHg. Converting the pressure to atm, we get 0.974 atm. Plugging these values into the equation, we have: n = (0.974 atm * 0.112 L) / (0.0821 atm*L/mol*K * 298 K) = 0.0046 mol.
To calculate the molar mass, we can use the formula: Molar Mass = mass / moles. In this case, the mass is given as 0.205 g and the moles are calculated as 0.0046 mol. Therefore, the molar mass is: Molar Mass = 0.205 g / 0.0046 mol = 44.57 g/mol.