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;
- M.m = molar mass (g/mol)
- ρ = density (g/L)
- R = gas law constant (0.0821 Latm/molK)
- T = temperature (K)
- P = pressure (atm)
- T = 25°C = 25 + 273 = 298K
- 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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