30 ml of sugar syrup is mixed with water to yield a concentration of 60% sugar solution. What is the volume of the solution? The sugar has a molecular formula of c12h22o11 and a mass of 12g.

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To find the volume of the sugar solution, we first need to calculate the amount of sugar in the solution.

The sugar syrup is said to have a concentration of 60% sugar solution. This means that for every 100 ml of the syrup, there are 60 ml of sugar and 40 ml of water.

According to the information given, the sugar has a molecular formula C12H22O11 and a mass of 12g. To find the molar mass of sugar, we need to calculate the sum of the atomic masses of the individual elements in its formula.

The atomic mass of carbon (C) is 12 g/mol, the atomic mass of hydrogen (H) is 1 g/mol, and the atomic mass of oxygen (O) is 16 g/mol.

So, the molar mass of sugar (C12H22O11) can be calculated as follows:

(12 * 12) + (22 * 1) + (11 * 16) = 144 + 22 + 176 = 342 g/mol

Now, we can calculate the mass of sugar in the 30 ml of sugar syrup.

Mass of sugar = Concentration of sugar solution * Volume of sugar syrup
Mass of sugar = 0.6 * 30 ml = 18 g

Next, we need to convert the mass of sugar into moles. Since the molar mass of sugar is 342 g/mol, we divide the mass by the molar mass.

Number of moles of sugar = Mass of sugar / Molar mass of sugar
Number of moles of sugar = 18 g / 342 g/mol ≈ 0.0526 mol

Now, we can calculate the volume of the sugar solution. Since the sugar solution concentration is 60%, there are 60 ml of sugar in every 100 ml of solution.

So, the volume of the sugar solution can be calculated as follows:

Volume of sugar solution = (Number of moles of sugar / Concentration of sugar solution) * 100 ml
Volume of sugar solution = (0.0526 mol / 0.6) * 100 ml ≈ 8.77 ml

Therefore, the volume of the sugar solution is approximately 8.77 ml.