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At 300 K, 36 g of glucose present in a litre of its solution has an osmotic pressure of 4.98 bar. If the osmotic pressure of the solution is 1.52 bars at the same temperature, what would be its

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प्रश्न

At 300 K, 36 g of glucose present in a litre of its solution has an osmotic pressure of 4.98 bar. If the osmotic pressure of the solution is 1.52 bars at the same temperature, what would be its concentration?

संख्यात्मक
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उत्तर

Given: Temperature (T) = 300 K

R = 0.083 bar L K−1 mol−1

π V = `w/(M') RT`

For the first case, 

Osmotic pressure for the first case (π) = 4.98 bar

4.98 × 1 = `36/(M') xx R xx T`    ...(i)

For the second case,

Osmotic pressure for the second case (π) = 1.52 bar

1.52 × 1 = `w/(M') xx R xx T`    ...(ii)

Dividing eq. (i) by eq. (ii), we get,

`4.98/1.52 = 36/w`

or `w = (1.52 xx 36)/4.98`

= 10.99 g

∴ Moles of solute present in 1 L of solution = `10.99/180`

= 0.061

Hence, the molarity of the solution is 0.061 M.

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