Final answer:
The density of the gas is 2.1 g/L and the molar mass is 54.7 g/mol.
Step-by-step explanation:
To calculate the density of a gas, we need to use the formula:
Density = mass / volume
In this case, the mass of the gas is given as 3.05 g, and the volume is 1.45 L. Plugging these values into the formula, we get:
Density = 3.05 g / 1.45 L = 2.1 g/L
To calculate the molar mass of the gas, we can use the ideal gas law:
PM = dRT
Where P is the pressure, M is the molar mass, d is the density, R is the ideal gas constant (0.0821 L·atm·mol⁻¹·K⁻¹), and T is the temperature in Kelvin. Rearranging the formula to solve for M, we get:
Molar mass = density x R x T / pressure
Plugging in the values given in the question, we get:
Molar mass = 2.1 g/L x 0.0821 L·atm·mol⁻¹·K⁻¹ x (25 + 273) K / 1.10 atm = 54.7 g/mol