The plot of osmotic pressure () vs concentration (mol ) for a solution gives a straight line with slope 25.73 L bar . The temperature at which the osmotic pressure measurement is done is (Use R = 0.083 L bar ) [2024]

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Solution

Q.
The plot of osmotic pressure ( $π$ ) vs concentration (mol $L^{- 1}$ ) for a solution gives a straight line with slope 25.73 L bar ${mol}^{- 1}$ . The temperature at which the osmotic pressure measurement is done is (Use R = 0.083 L bar ${mol}^{- 1}$ $K^{- 1}$ ) [2024]

1 37 °C

2 310 °C

3 25.73 °C

4 12.05 °C

Ans.
(1)

As we know, $π = C R T$

The plot of $π$ (osmotic pressure) vs concentration will give

(On comparing with straight line equation $y = m x + C$ )

Slope = $(m) = R T$

$25.73 = R T$

$T = \frac{25.73}{R} = \frac{25.73}{0.083} = 310$ $K$

$T = 310$ $K$ $or$ $37 ° C$

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