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NEET CHEMISTRYSolutionsMedium

Question

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}.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Solutions. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYSolutionsosmoticpressureconcentrationtextmolsolution

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