Answer :
A mixture of two gases exerts a total pressure of 3.65 atm. If the partial pressure of one of the gases is 1.86 atm, what is the partial pressure of the other gas in the mixture?
Answer
3.65 - 1.86 = 1.79 atm
If 45 g of LiF are dissolved in 1.8 kg of water, what would be the expected change in boiling point? The boiling point constant for water (Kb) is 0.51 °C/m.
Answer
ΔTb = kb(m) = 0.51 ((45/25.94) / 1.8 ) = 0.49 °C
Answer
3.65 - 1.86 = 1.79 atm
If 45 g of LiF are dissolved in 1.8 kg of water, what would be the expected change in boiling point? The boiling point constant for water (Kb) is 0.51 °C/m.
Answer
ΔTb = kb(m) = 0.51 ((45/25.94) / 1.8 ) = 0.49 °C
Answer: 1. 1.79 atm
2. [tex]0.98^0C[/tex]
Explanation:
1. According to Dalton's law, the total pressure of a mixture of gases is the sum of individual pressures exerted by the constituent gases.
[tex]p_{total}=p_A+p_B[/tex]
Given: [tex]p_{total}=3.65atm[/tex]
[tex]p_{A}=1.86atm[/tex]
[tex]p_{B}= ?atm[/tex]
Thus [tex]3.65=1.86atm+p_{B}[/tex]
[tex]p_{B}=1.79atm[/tex]
Thus the partial pressure of the other gas in the mixture is 1.79 atm
2.
Elevation in boiling point is:
[tex]\Delta T_b=i\times k_b\times m[/tex]
[tex]\Delta T_b=i\times k_b\times \frac{\text{mass of solute}}{\text{molar mass of solute}\times \text{weight of solvent in kg}}[/tex]
[tex]\Delta T_b[/tex] = elevation in boiling point
i = Van'T Hoff factor
[tex]k_b[/tex] = boiling point constant
m = molality
For [tex]LiF[/tex], i= 2 as it dissociates to give two ions.
[tex]\Delta T_b=2\times 0.51\times \frac{45g}{ 26g/mol\times 1.8kg}[/tex]
[tex]\Delta T_b=2\times 0.51\times \frac{45g}{26g/mol\times 1.8kg}[/tex]
[tex]\Delta T_b=0.98^0C[/tex]
The expected change in boiling point is [tex]0.98^0C[/tex]