Answer:
Molecular mass, M = 58.20 g/mol.
Explanation:
Given the following data;
- Density = 2.41 g/liter
- Temperature = 25°C
- Pressure = 770 mmHg
- Gas constant, R = 0.0821 L atm.mol-1K-1
Conversion:
760 mmHg = 1 atm
770 mmHg = 770/760 = 1.0131 atm
Temperature = 25°C = 273 + 25 = 298 K
To find the molecular mass, we would use the ideal gas law equation (density version);
PM = dRT
Where;
- P is the pressure.
- M is the molecular mass.
- d is the density of a substance.
- R is the ideal gas constant.
- T is the temperature.
Making M the subject of formula, we have;
[tex] M = \frac {dRT}{P} [/tex]
Substituting into the formula, we have;
[tex] M = \frac {2.41 * 0.0821 * 298}{1.0131} [/tex]
[tex] M = \frac {58.9626}{1.0131} [/tex]
Molecular mass, M = 58.20 g/mol.
