a 0335m aolution of lactose c12h22o11 in water has a density

a 0.335m aolution of lactose c12h22o11 in water has a density of 1.0432g/ml at 20degrees celcius. what is the concentration of the solution in the following unit

Solution

suppose we have 1000 grams of solvent, then we have moles = 0.335 moles of glucose

mass of glucose = mole * molar mass = 0.335 * 180 = 60.3 grams

total mass of the solution = 1000 grams of water + 60.3 grams of glucose = 1060.3 grams

now volume = mass / density

volume = 1060.3/1.0432 = 1016.392 ml in litres = 1.0164 l

molarity = mole / vol of solution (in litre)

M = 0.335/1.0164 = 0.3296 M .

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