An aqueous solution containing 1 g L⁻¹ of a polymer exerts osmotic pressure of 4 torr at 300 K. Given R=0.082… · ABC26PH0662
Subject: Physical Chemistry · Chapter: Chemical Kinetics · Topic: Chemical Kinetics – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium
An aqueous solution containing $1 \mathrm{g} \mathrm{L}^{-1}$ of a polymer exerts osmotic pressure of 4 torr at 300 K . Given $\mathrm{R}=0.082$ L atm, the molar mass $\left(\mathrm{g} \mathrm{mol}^{-1}\right)$ of the polymer is
(a)4500
(b)4564
(c)4674
(d)4800
Answer
Answer: C ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
π = cRT/M ⇒ M = cRT/π = (1 g L⁻¹)(0.082)(300)/(4/760 atm) = 24.6/0.005263 = 4674 g mol⁻¹.