Let the plasma cell wall of shark is a semipermeable membrane. When these cells were kept in a series of NaCl solution of different concentration at 25^(@)C these cells remain intact in 0.7% ((w)/(w)) NaCl solution, shrank in more concetrated solution and swelled in dilute solution. What is the osmotic pressure of the cell cytoplasm at 25^(@)C? given K_(f) of water =1.86kgmol^(-1)K and water freezes from the 0.7%((w)/(w)) salt solution at -0.418^(@)C. Assume solution is dilute in each case. Give your answer to nearest integer. (R=0.0atm(L)/(molK))

Let the plasma cell wall of shark is a semipermeable membrane. When th

1.	Let the plasma cell wall of shark is a semipermeable membrane. When these cells were kept in a series of NaCl solution of different concentration at 25^(@)C these cells remain intact in 0.7% ((w)/(w)) NaCl solution, shrank in more concetrated solution and swelled in dilute solution. What is the osmotic pressure of the cell cytoplasm at 25^(@)C? given K_(f) of water =1.86kgmol^(-1)K and water freezes from the 0.7%((w)/(w)) salt solution at -0.418^(@)C. Assume solution is dilute in each case. Give your answer to nearest integer. (R=0.0atm(L)/(molK))
Answer» Solution :In `0.7%` solution no osmosis was there. Here the exerted extra pressure is osmotic pressure `NaClhArrNa^(+)+Cl^(-)` Have van't Hoff factor `i=1+(2-1)alpha=(1+alpha)` `DeltaT_(F)=(K_(f)W_(1)1000)/(m_(1)W_(2))(1+alpha)` or `(1+alpha)=` `(DeltaT_(f)M_(1)W_(1)1000)=(0.418xx58.5xxW_(2))/(1.86xx1000xxW_(1))` as it is `0.7%` solution of NaCl`because(W_(2))/(W_(1))=(99.3)/(0.7)` `because(1+alpha)=1.86` ASSUMING dilute solution `100gm` `H_(2)O=100mLH_(2)O` `becausepiV="in" RT` or `pi=` `((1+alpha)xxnRT)/(V)=((1+alpha)W_(1)RT)/(M_(1)V)` or `pi=(1.86xx0.7xx0.08xx298)/(58.5xx0.1)=5.30atm`