Final answer:
To calculate the density of Freon 12 at 30.0 °C and 0.954 atm, we need to use the ideal gas law equation PV = nRT. First, convert the temperature to Kelvin. Then, calculate the number of moles of Freon 12 using the ideal gas law equation PV = nRT. Finally, calculate the density using the formula Density = mass / volume.
Step-by-step explanation:
To calculate the density of Freon 12 at 30.0 °C and 0.954 atm, we need to use the ideal gas law. The ideal gas law equation is 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 in Kelvin. Since we are given the temperature in Celsius, we need to convert it to Kelvin.
Step 1: Convert the temperature to Kelvin
30.0 °C + 273.15 = 303.15 K
Step 2: Calculate the number of moles of Freon 12 using the ideal gas law equation PV = nRT
n = PV / RT
n = (0.954 atm) / [(0.0821 L.atm/(mol.K))(303.15 K)]
Step 3: Calculate the density using the formula Density = mass / volume. The molar mass of Freon 12 (CF₂Cl₂) is 120.913 g/mol.
Molar mass = mass / moles
mass = (molar mass) x moles
Now we can substitute the values and calculate the density of Freon 12.
Density = [mass / (PV / RT)] / V
Density = (molar mass x PV) / (RT x V)