High School

What volume of a concentrated 18M solution is required to prepare 550 mL of a 2.0M solution?

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What volume of a concentrated 1.5M solution is required to prepare 25 mL of a 7.0M solution?

Answer in liters.

Answer :

1-61.11 ml of the 18 M solution is required to prepare 550 ml of a 2.0 M solution.

2-0.117 liters or 117 ml of the 1.5 M solution is required to prepare 25 ml of a 7.0 M solution.

To calculate the volume of concentrated 18 M solution required to prepare 550 ml of a 2.0 M solution, we can use the formula:

M1V1 = M2V2

where:

M1 = 18 M (concentration of concentrated solution)

V1 = volume of concentrated solution to be added (unknown)

M2 = 2.0 M (final concentration required)

V2 = 550 ml (final volume required)

Rearranging the formula to solve for V1:

V1 = (M2 x V2) / M1

Substituting the values given:

V1 = (2.0 M x 550 ml) / 18 M

V1 = 61.11 ml

To calculate the volume of concentrated 1.5 M solution required to prepare 25 ml of a 7.0 M solution, we can again use the formula:

M1V1 = M2V2

where:

M1 = 1.5 M (concentration of concentrated solution)

V1 = volume of concentrated solution to be added (unknown)

M2 = 7.0 M (final concentration required)

V2 = 25 ml (final volume required)

Converting the final volume required to liters:

V2 = 25 ml = 0.025 L

Rearranging the formula to solve for V1:

V1 = (M2 x V2) / M1

Substituting the values given:

V1 = (7.0 M x 0.025 L) / 1.5 M

V1 = 0.117 L

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