Respuesta :
Answer:
1) 6.25 × 10⁻⁴ M atm⁻¹
2) 0.125 mol
Explanation:
1) Air is a mixture of gases that is about 78.0% N₂ by volume. When air is at standard pressure and 25.0 °C, the N₂ component will dissolve in water with a solubility of 4.88×10−4 M. What is the value of Henry's law constant for N₂ under these conditions?
When air is at standard pressure (1.00 atm), the partial pressure of N₂ depends on its proportion. If N₂ is 78.0% by volume, its partial pressure will be:
pN₂ = 0.780 × 1.00 atm = 0.780 atm
According to Henry's Law:
S = k × P
k = S / P = 4.88 × 10⁻⁴ M / 0.780 atm = 6.25 × 10⁻⁴ M atm⁻¹
2) The vapor pressure of benzene, C₆H₆, is 100.0 torr at 26.1 °C. Assuming Raoult’s law is obeyed, how many moles of a nonvolatile solute must be added to 100.0 mL of benzene to decrease its vapor pressure by 10.0% at 26.1 ∘C? The density of benzene is 0.8765 g/cm³.
According to Raoult’s law,
Δp = p(solvent) × x(solute)
where,
Δp is the decrease in the vapor pressure of the solvent
p(solvent) is the vapor pressure of the pure solvent
x(solute) is the mole fraction of the solute
Δp is 10.0% of 100.0 torr, that is, 10.0 torr. p(solvent) is 100.0 torr. Then,
[tex]\Delta p=p(solvent) \times x(solute)\\x(solute)=\frac{\Delta p}{p(solvent)} =\frac{10.0torr}{100.0torr} =0.100[/tex]
In 100.0 mL of benzene, the number of moles is:
[tex]100.0mL.\frac{0.8765g}{mL} .\frac{1mol}{78.11g} =1.122mol[/tex]
Finally,
[tex]x(solute)=0.100=\frac{n_{solute}}{n_{solute}+n_{solvent}} =\frac{n_{solute}}{n_{solute}+1.122mol} \\0.100.n_{solute}+0.1122mol=n_{solute}\\n_{solute}=0.125mol[/tex]