Calculate the molar mass that would be obtained from the actul experimental data under the following conditions. The unknown is mehy propy ether (CH3OC3H7) which has the vapor pressure of 375.2 torr at room temperature, 20C. The volume of the flask is 135mL, the temperature of the bath is 100C, and atm pressure is 760 torr. The average "mlar mass" of ai is 29.0g/mol.
To calculate the molar mass of methyl propyl ether (CH3OC3H7) using the given experimental data, we need to apply the ideal gas law equation, PV = nRT.
1. Convert the provided vapor pressure to atm:
The vapor pressure is given as 375.2 torr, so we need to convert it to atm by dividing by the conversion factor of 760 torr/atm:
Vapor pressure (in atm) = 375.2 torr / 760 torr/atm = 0.493 atm
2. Calculate the number of moles of the unknown compound:
Rearrange the ideal gas law equation to solve for the number of moles (n):
n = PV / RT
Where:
P = Pressure in atm (0.493 atm)
V = Volume in liters (converted from mL: 135 mL = 0.135 L)
R = Ideal gas constant (0.0821 L·atm/mol·K)
T = Temperature in Kelvin (converted from Celsius: 100°C = 373 K)
n = (0.493 atm * 0.135 L) / (0.0821 L·atm/mol·K * 373 K)
3. Calculate the molar mass:
Molar mass (g/mol) = Mass of the unknown compound (g) / Number of moles (mol)
Given that the average molar mass of air is 29.0 g/mol, we can rearrange the equation to solve for the mass of the unknown compound:
Mass of the unknown compound (g) = Molar mass (g/mol) * Number of moles (mol)
Do note that the "molar mass" mentioned in the question may be a typo, as it refers to the molar mass of air. However, we'll use it as given.
4. Substitute the values into the equation:
Mass of the unknown compound (g) = 29.0 g/mol * n
Substitute the previously calculated value of n to find the mass of the unknown compound.
By following these steps, you should be able to calculate the molar mass based on the given experimental data.