Question

Stu and Noke are working with a red food coloring, Red #40. The stock solution has a concentration of 0.0880 M dye. Noke want to makes a concentration of 0.0088 M, exactly one tenth of the original red dye solution strength. What volume of the original 0.0880 M solution should she measure into a 100.0 volumetric flask, to be diluted with water up to the line of the flask? (3 significant digits, unit mL)

2)Stu dilutes the stock 0.0880 M red dye solution (same as the previous question by measuring 25.00 mL with a pipet into a 100.0 mL volumetric flask and then adding water up to the line on the flask. Calculate the new concentration of his diluted solution. (Round to 3 significant digits, unit M)

Answer 1

Answer:

1. Volume of the original 0.0880 M solution should Nok measure into 100 mL volumetric flask is 10.0 mL.

2. The new concentration of diluted solution is 0.0352 M.

Explanation:

1) Concentration of solution given = $M_1=0.0880 M$

Volume of solution red dye solution of 0.0880 M needed = $V_1$

Required concentration of red dye solution = $M_2=0.0088 M$

Volume of solution red dye solution required= $V_2=100 mL$

$M_1V_1=M_2V_2$

$V_1=\frac{0.0088 M\times 100 mL}{0.0880 M}=10.0 mL$

Volume of the original 0.0880 M solution should Nok measure into 100 mL volumetric flask is 10.0 mL.

2) Concentration of red dye solution given = $M_1=0.0880 M$

Volume of solution red dye solution of 0.0880 M added into volumetric flask= $V_1=25mL$

Required concentration of red dye solution = $M_2=?$

Volume of solution red dye solution required= $V_2=100 mL$

$M_1V_1=M_2V_2$

$M_1=\frac{0.0088 M\times 100 mL}{25 mL}=0.0352 M$

The new concentration of diluted solution is 0.0352 M.

Answer 2

Answer:

Answer:

1. Volume of the original 0.0880 M solution should Nok measure into 100 mL volumetric flask is 10.0 mL.

2. The new concentration of diluted solution is 0.0352 M.

Explanation:

1) Concentration of solution given =  

Volume of solution red dye solution of 0.0880 M needed =  

Required concentration of red dye solution =  

Volume of solution red dye solution required=  

Volume of the original 0.0880 M solution should Nok measure into 100 mL volumetric flask is 10.0 mL.

2) Concentration of red dye solution given =  

Volume of solution red dye solution of 0.0880 M added into volumetric flask=  

Required concentration of red dye solution =  

Volume of solution red dye solution required=  

The new concentration of diluted solution is 0.0352 M.

Explanation: