हिंदी

For a very dilute solution, the osmotic pressure is given by π = n2RT/V where V is the volume in L containing n2 moles of nonvolatile solute. Establish the equation for molar mass of solute.

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प्रश्न

For a very dilute solution, the osmotic pressure is given by π = n2RT/V where V is the volume in L containing n2 moles of nonvolatile solute. Establish the equation for molar mass of solute.

संख्यात्मक
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उत्तर

For very dilute solutions, the osmotic pressure follows the equation,

`pi = ("n"_2 "RT")/"V"`    ....(1)

If the mass of solute in V litres of solution is W2 and its molar mass is

M2, then n2 = `"W"_2/"M"_2`

Substituting the value of n2 in equation (1), we get

`pi = "W"_2/"M"_2 "RT"/"V"`

∴ M2 = `("W"_2"RT")/(pi"V")`

This formula can be used for the calculation of molar mass of a nonionic solute (i.e., nonelectrolyte), by osmotic pressure measurement.

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