74) A solution is prepared by dissolving 0.60 g of nicotine (a nonelectrolyte) in water to make 12 mL of solution. The osmotic pressure of the solution is 7.55 atm at 25 °C. The molecular weight of nicotine is ________g/mol.

Respuesta :

Answer:

molar mass of nicotine will be 162.16g/mol

Explanation:

The mass of nicotine taken = 0.60g

The volume of solution = 12mL

the osmotic pressure of solution = 7.55 atm

Temperature in kelvin =298.15K (25+ 273.15)

The formula which relates osmotic pressure and concentration (moles per L) is:

Ï€ = MRT

Where

Ï€ = osmotic pressure (unit atm) = 7.55 atm

M = molarity (mol /L)

T= temperature = (K) = 298.15 K

R = gas constant = 0.0821 L atm /mol K

Putting values

[tex]7.55=MX0.0821X298.15[/tex]

Therefore

[tex]M=\frac{7.55}{0.0821X298.15}=0.308\frac{mol}{L}[/tex]

Molarity is moles of solute dissolve per litre of solution

The volume of solution in litre = 0.012 L

[tex]molarity=\frac{moles}{V}[/tex]

[tex]moles=molarityXvolume=0.308X0.012=0.0037mol[/tex]

we know that

[tex]moles=\frac{mass}{ymolarmass}[/tex]

molar mass = [tex]\frac{mass}{moles}=\frac{0.60}{0.0037}=162.16\frac{g}{mol}[/tex]