Question

An experiment calls for 7.57g of sugar. You have a sugar son that is 5% by weight (for every 100g there is 5g of sugar). How many mL of the sugar sold will be needed to deliver 7.57 g of sugar?The density of sugar is 1.157 g/mL. The molecular weight of sugar is 342 g/mol.

Answer 1

To find the mL of the sugar sold needed to deliver 7.57 g of sugar, calculate the grams of sugar in the solution and convert it to volume using the density of sugar.

Step-by-step explanation:

To find the number of mL of the sugar solution needed to deliver 7.57 g of sugar, we first need to calculate the number of grams of sugar in the solution. Since the sugar solution is 5% by weight, for every 100g of solution, there is 5g of sugar. Therefore, the number of grams of sugar in the solution is 5% of the solution's weight.

Next, we need to find the volume of the solution in mL. The density of sugar is given as 1.157 g/mL. So, to convert the weight of the sugar solution to volume, we divide the weight by the density.

Using the given information, we can calculate the number of mL of the sugar solution needed to deliver 7.57 g of sugar.

Answer 2

mL sugar sold needed = 2.2215 mL sugar

Step-by-step explanation:

mass sugar = 7.57 g

∴ wt% = 5% = (g sugar/g sln)×100

⇒ 0.05 = g sugar/g sln

∴ g sln = 100 g

⇒ g sugar = 5 g

∴ δ sugar = 1.157 g/mL

⇒ mL sugar = (5 g)×(mL/1.157 g) = 4.322 mL

⇒ mL sugar needed = (7.57 g)/(1.157 g/mL) = 6.543 mL

mL of the sugar sold needed = 6.543 mL - 4.322 mL = 2.2215 mL sugar