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# Answer to Question #132414 in Biochemistry for Jessica Hillman

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?
1
2020-09-16T07:45:26-0400

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"

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