You are provided a 2g/mL stock solution to make 3000mL of a 50mg/mL sucrose solution. How much water would you need to make this solution?

You are provided a 2g/mL stock solution to make 3000mL of a 50mg/mL sucrose solution. How much water would you need to make this solution?

Answer

The volume of water needed in 75000 mL or 75 Liters

Explanation

You are provided a 2g/mL stock solution to make 3000mL of a 50mg/mL sucrose solution. How much water would you need to make this solution?

MaVa = MbVb

Ma = The concentration of stock solution mg/mL

Va = The volume of stock solution mL

Mb = The concentration of the sucrose solution mg/mL

Vb = The volume of the sucrose solution mL

2 * Va = 3000 * 50

Va = 75000 mL

The volume of water needed in 75000 mL or 75 Liters