The measured osmotic pressure of a solution prepared by dissolving 17.4 mg of K ₂ SO ₄ in 2 ~L of water at 27^ C is 3.735 10⁻³ bar. The van't Hoff factor is (R=0.083 ~L bar K ⁻¹ ~mol ⁻¹ . ; atomic weights K =39, ~S =32 ; O =16 )

Step-by-step solution

Given, =3.735 10⁻³ bar Mass of K ₂ SO ₄( )=17.4 mg Volume =2 ~L Temperature (T)=27^ C =27+273=300 ~K From osmotic pressure of solution. aligned & =i C R T i & = van't-Hoff factor i & = / C R T & = M V R T = 3.735 174 2 17.4 0.083 300 aligned Molar mass (M) H ₂ SO ₄=174, i=3.0