Osmotic pressure of naphthalene solution at `27^@C` is 500 mm Hg. When the solution is diluted and temperature is raised to `47^@C`, osmotic pressure of the solution becomes 105 mm Hg. The extent of dilution approximately is :-
A. 3 times
B. 5 times
C. 7 times
D. 4 times

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1 Answers

Correct Answer - B
`pi_1/pi_2 =(C_1T_1)/(C_2T_2)`
`500/105 = (n_1 /V_1 xx300)/(n_1/V_2 xx 320)`
`500/105 =V_2/V_1 xx 300/320`
`500/105xx320/300 =V_2/V_1`
`5 = 320/63=V_2/V_1`

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