Answer:
To determine the formula mass of the gas, we can use the ideal gas law:
PV = nRT
where P is the pressure of the gas, V is the volume of the container, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature of the gas in Kelvin.
First, we need to convert the given temperature of 27°C to Kelvin:
T = 27°C + 273.15 = 300.15 K
Next, we can rearrange the ideal gas law to solve for the number of moles of gas:
n = PV/RT
where P = 300.0 kPa, V = 25.0 L, R = 8.31 J/(mol·K), and T = 300.15 K.
n = (300.0 kPa)(25.0 L)/(8.31 J/(mol·K) x 300.15 K) ≈ 30.12 mol
Now, we can calculate the molar mass (formula mass) of the gas using its mass and the number of moles:
molar mass = mass / number of moles
where the mass is given as 96.0 g.
molar mass = 96.0 g / 30.12 mol ≈ 3.19 g/mol
Therefore, the formula mass of the gas is approximately 3.19 g/mol.
Step-by-step explanation: