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Insulin (C(2)H(10)O(5))(n) is dissolved ...

Insulin `(C_(2)H_(10)O_(5))_(n)` is dissolved in a suitable solvent and the osmotic pressure `(pi)` of solutions of various concentrations `(g//cm^(3))C` is measured at `20^(@)C`. The slope of a plot of `pi` against `C` is found to be `4.65 xx 10^(-3)`. The molecular weight of insulin is:

Text Solution

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`pi="CRT where C = molar conc. "("mol L"^(-1))`
Given values of C (say C') are in `"g cm"^(-3)`. To convert then into `"mol L"^(-1),` we have
`C=(C')/(M_(2))xx1000`
`therefore" "pi=(1000C')/(M_(2))xxRT.` It is like `y=mx`
Hence, plot of `pi " vs " C'` will be linear with slope `=(1000RT)/(M_(2))`
`therefore (1000RT)/(M_(2))=4.65xx10^(-3)" or "M_(2)=(1000RT)/(4.65xx10^(-3))=(1000xx0.0821xx293)/(4.65xx10^(-3))=5.17xx10^(6)`
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