Question #132414

at 20C a cell with a pressure potential of 3 bars is in equilibrium with the surrounding .4M solution of sucrose in an open beaker. what is the molar concentration of sucrose in the cell?

Expert's answer

The solute potential "\\Psi_S = -iCRT" , where *i* is the ionization constant, *C* is the molar concentration, *R* is the pressure constant (R = 0.0831 liter bars/mole K).

i = 1 (for sucrose)

"\\Psi_{S(surround.)} = -(1)\\times (0.4)\\times (0.0831)\\times (273+20)"

"\\Psi_{S(surround.)} = -9.74"

"\\Psi_{S(surround.)} = \\Psi_P + \\Psi_S"

"-9.74 = 3 + \\Psi_S"

"\\Psi_S = -12.74"

"\\Psi_S = iCRT"

"-12.74 = -(1)\\times C\\times (0.0831)\\times (273+20)"

"-12.74 = -24.34C"

"C = 0.52\\; M"

**Answer: 0.52 M**

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