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The plot of osmotic pressure (π\pi) vs concentration (mol L1\text{mol L}^{-1}) for a solution gives a straight line with slope 25.73 L bar mol125.73 \text{ L bar mol}^{-1}. The temperature at which osmotic pressure measurement is done is: (Use R=0.083 L bar mol1 K1R=0.083 \text{ L bar mol}^{-1} \text{ K}^{-1})

A

310 °C

B

25.73 °C

C

12.05 °C

D

37 °C

Step-by-Step Solution

According to the equation for osmotic pressure, π=CRT\pi = CRT, where π\pi is osmotic pressure, CC is molarity (concentration in mol L1\text{mol L}^{-1}), RR is the gas constant, and TT is temperature in Kelvin .

When a graph is plotted between osmotic pressure (π\pi) on the y-axis and concentration (CC) on the x-axis, it gives a straight line with a slope equal to RTRT.

Given slope = 25.73 L bar mol125.73 \text{ L bar mol}^{-1} Therefore, RT=25.73RT = 25.73 T=25.73R=25.730.083=310 KT = \frac{25.73}{R} = \frac{25.73}{0.083} = 310 \text{ K}

To convert the temperature to Celsius: T(C)=T(K)273=310273=37CT (^{\circ}\text{C}) = T (\text{K}) - 273 = 310 - 273 = 37^{\circ}\text{C}.

Hence, the temperature at which the measurement is done is 37C37^{\circ}\text{C}.

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