Question

Calculate the molar mass of a 2.89 g gas at 346 ml, a temperature of 28.3 degrees Celsius, and a pressure of 760 mmHg.

A) 20.6 g/mol
B) 24.7 g/mol
C) 206 g/mol
D) 247 g/mol

Answer 1

To calculate the molar mass of a gas, use the ideal gas law. Plug in the given values and solve for molar mass.

Step-by-step explanation:

To calculate the molar mass of the gas, we need to use the ideal gas law:

M = (mRT)/(PV)

Where:
M = molar mass in g/mol
m = mass of the gas in g
R = ideal gas constant = 0.0821 L atm/mol K
T = temperature in Kelvin
P = pressure in atm
V = volume in L

Substitute the given values into the equation:
M = (2.89g)(0.0821 L atm/mol K)(301.3 K)/(760 mmHg)(0.346 L)

Convert the pressure to atm:
M = (2.89g)(0.0821 L atm/mol K)(301.3 K)/(760/760 atm)(0.346 L) = 24.7 g/mol