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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

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Question

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)

Options

  • 25.73°C

  • 12.05°C

  • 37°C

  • 310°C

MCQ
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Solution

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 37°C.

Explanation:

Given: Slope (m) = 25.73 L bar mol−1

R = 0.083 L bar mol−1 K−1

The osmotic pressure (π) of a solution is given by the van’t Hoff equation:

π = CRT

Slope (m) = RT

T = `m/R`

= `25.73/0.083`

= 310 K

= 37°C

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