Solutions Question 374
Question: At $ 17{}^\circ C $ , the osmotic pressure of sugar solution is 580 torr. The solution is diluted and the temperature is raised to $ 57{}^\circ C, $ when the osmotic pressure is found to be 165 torr. The extent of dilution is:
Options:
A) 2 times
B) 3 times
C) 4 times
D) 5 times
Show Answer
Answer:
Correct Answer: C
Solution:
$ {\pi_1}=\frac{nRT_1}{V_1},{\pi_2}=\frac{nRT_2}{V_2} $ Hence $ \frac{{\pi_1}}{{\pi_2}}=\frac{580}{165}=\frac{V_2T_1}{V_1T_2}=\frac{V_2\times 290}{V_1\times 330} $
$ \Rightarrow \frac{V_2}{V_1}=4 $
