Chloroform is a volatile liquid once commonly used in the laboratory but now being phased out due to its ozone depletion potential. If the pressure of gaseous chloroform in a flask is 195 mm Hg at 25°C and its density is 1.25 g/L, what is the molar mass of chloroform? A) 10.0 g/mol B) 76.3 g/mol C) 119 g/mol D) None of these

Respuesta :

Answer : The correct option is, (C) 119 g/mol

Explanation :

To calculate the molar mass of chloroform we are using ideal gas equation:

[tex]PV=nRT\\\\PV=\frac{w}{M}RT\\\\M=\frac{w}{V}\times \frac{RT}{P}\\\\M=\rho \times \frac{RT}{P}[/tex]

where,

P = pressure of gas = 195 mmHg = 0.256 atm    (1 atm = 760 mmHg)

V = volume of argon gas

T = temperature of gas = [tex]25^oC=273+25=298K[/tex]

R = gas constant = 0.0821 L.atm/mole.K

w = mass of gas

[tex]\rho[/tex] = density of gas = 1.25 g/L

M = molar mass of chloroform = ?

Now put all the given values in the ideal gas equation, we get:

[tex]M=1.25g/L\times \frac{(0.0821L.atm/mole.K)\times (298K)}{0.256atm}[/tex]

[tex]M=119.4g/mol\approx 119g/mol[/tex]

Therefore, the molar mass of chloroform is, 119 g/mol.

The molar mass of chloroform if 195 mmHg at 25°C and density of 1.25 g/L is 119.5g/mol.

HOW TO CALCULATE MOLAR MASS:

  • The molar mass of chloroform can be calculated by the following expression:

  • PV = nRT

  • PV = m/m.m × R × T

  • M.m = m/v × RT/p

  • M.m = ρ × RT/p

Where;

  1. M.m = molar mass (g/mol)
  2. ρ = density (g/L)
  3. R = gas law constant (0.0821 Latm/molK)
  4. T = temperature (K)
  5. P = pressure (atm)

  1. T = 25°C = 25 + 273 = 298K
  2. P = 195 mmHg = 0.256atm

  • M.m = 1.25 × (0.0821 × 298)/0.256

  • M.m = 1.25 × 95.57

  • M.m = 119.5g/mol

  • Therefore, the molar mass of chloroform if 195 mmHg at 25°C and density of 1.25 g/L is 119.5g/mol.

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