Answer: The correct answer is Option a.
Explanation:
To calculate the Vant't Hoff factor, we use the equation for osmotic pressure, which is:
[tex]\pi=icRT[/tex]
where,
[tex]\pi[/tex] = osmotic pressure of the solution = 7.6 atm
i = Van't hoff factor = ?
c = concentration of [tex]MgSO_4[/tex] = 0.20 mol/L
R = Gas constant = [tex]0.0820\text{ L atm }mol^{-1}K^{-1}[/tex]
T = temperature of the solution = [tex]25^oC=[273+25]=298K[/tex]
Putting values in above equation, we get:
[tex]7.6atm=i\times 0.20mol/L\times 0.0820\text{ L.atm }mol^{-1}K^{-1}\times 298K\\\\i=1.6[/tex]
Hence, the correct answer is Option a.