Find the mass of sucrose (molecular mass=342) required to be dissolved per 600cm² solution to prepare a semi molar solution.

102.6 g

Explanation:

Firstly, let's understand the terms used in the question. Semi-molar solution is a solution which has a molarity of:

We're given the molar mass of:

Let's use the definition of molarity: molarity is the ratio between the moles of solute and the volume of solution:

From here, we wish to express moles, n, as the ratio of mass of sucrose to its molar mass:

Substitute it back into the equation of molarity:

Since we wish to find mass, let's multiply both sides of the equation by MV to obtain mass equation:

Now, convert volume into liters knowing that 1 mL = 1 cm³ and 1000 mL = 1 L:

Substitute all three variables into the equation:

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