Answer:
58.5g/mol
Explanation:
Given parameters:
Mass of gas = 4.25g
Volume = 1.7L
Pressure = 883mmHg
760mmHg = 1 atm
883mmHg = [tex]\frac{883}{760}[/tex] = 1.16atm
Temperature = 58°C = 58 + 273 = 331K
Unknown:
Molar mass of sample = ?
Solution:
To solve this problem, we use the ideal gas equation to find the number of moles;
PV = nRT
P is the pressure
V is the volume
n is the number of moles
R is the gas constant = 0.082atmdm³mol⁻¹K⁻¹
T is the temperature
n = [tex]\frac{PV}{RT}[/tex] = [tex]\frac{1.16 x 1.7}{0.082 x 331}[/tex] = 0.07mole
Since;
mass = number of moles x molar mass
4.25 = 0.07 x molar mass
Molar mass = 58.5g/mol
