A solution of 17.1 w% of sucrose (molar mass | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given,Mass of sucrose $(w_1) = 17.1 \ g$ Molar mass of sucrose $(M_1) = 342 \ g \ mol^{-1}$ Mass of oxalic acid $(w_2) = x \ g$ Molar mass of oxal

Vedclass · Accepted Answer

$4.41$

Vedclass · Answer

(C) Given,Mass of sucrose $(w_1) = 17.1 \ g$ Molar mass of sucrose $(M_1) = 342 \ g \ mol^{-1}$ Mass of oxalic acid $(w_2) = x \ g$ Molar mass of oxalic acid $(M_2) = 90 \ g \ mol^{-1}$ Degree of dissociation $(\alpha)$ of oxalic acid $= 0.01$ Step $I$: To find the value of van't Hoff factor $(i)$ $i = (1 - \alpha) + n\alpha$ where, $n = 3$ (number of ions produced by oxalic acid, $H_2C_2O_4 ightleftharpoons 2H^+ + C_2O_4^{2-}$) $i = (1 - 0.01) + (3 	imes 0.01) = 0.99 + 0.03 = 1.02$ Step $II$: For isotonic solutions, osmotic pressure $(\pi)$ is equal. $\pi_{	ext{sucrose}} = \pi_{	ext{oxalic acid}}$ $C_{	ext{sucrose}} 	imes R 	imes T = i 	imes C_{	ext{oxalic acid}} 	imes R 	imes T$ $\frac{w_1}{M_1} = i 	imes \frac{x}{M_2}$ $x = \frac{w_1 	imes M_2}{M_1 	imes i} = \frac{17.1 	imes 90}{342 	imes 1.02} = \frac{1539}{348.84} \approx 4.41$ Thus, $x = 4.41$.

$A$ solution of $17.1$ $w\%$ of sucrose (molar mass $= 342 \ g \ mol^{-1}$) is isotonic with a $x$ $w\%$ solution of oxalic acid (molar mass $= 90 \ g \ mol^{-1}$). Assume the degree of dissociation of oxalic acid as $0.01$. What is $x$?

Similar Questions

Which of the following equimolar aqueous solutions has the highest freezing point?

Explain the van't Hoff factor and provide its formula.

Which of the following substances shows the highest colligative properties?

Find the expected value of $\Delta T_{b}$ for $1 \ m \ AlCl_3$ solution in water if a solution of a nonelectrolyte of the same concentration has a $\Delta T_{b}$ value of '$x$' $K$.

If the degree of ionisation of $KI_3$ is $80\%$,then what will be its van't Hoff factor?

Vedclass Test Series

Exam Paper Generator

Online Exam Module