Question

How many milligrams of glucose (mw=180 daltons) do you need to add to 10 ml of water in order to make a 10 mM glucose solution?

Answer 1

To make a 10 mM glucose solution, add 18 mg of glucose to 10 ml of water.

Step-by-step explanation:

To prepare a 10 mM (molar) glucose solution, we need to calculate the number of moles of glucose required for 10 ml of water. Since 1 L of a 10 mM solution contains 0.010 mol of glucose, for 10 ml the number of moles needed would be 0.010 mol/L × 0.01 L = 0.0001 mol. The molar mass of glucose is 180 g/mol, which means that 0.0001 mol × 180 g/mol gives us the mass of glucose needed in grams.

The calculation would be 0.0001 mol × 180 g/mol = 0.018 g of glucose. However, we need to convert grams to milligrams by multiplying by 1000 mg/g, resulting in 0.018 g × 1000 mg/g = 18 mg of glucose.

Therefore, to make a 10 mM glucose solution, 18 mg of glucose should be added to 10 ml of water.