High School

Calculate the molarity of 48.0 mL of 6.00 M H\(_2\)SO\(_4\) diluted to 0.250 L.

Answer :

Final answer:

To calculate the molarity of the diluted solution, use the formula M1V1 = M2V2 and plug in the values to find the final molarity.

Explanation:

To calculate the molarity of the diluted solution, we can use the formula:

M1V1 = M2V2

Where M1 is the initial molarity, V1 is the initial volume, M2 is the final molarity, and V2 is the final volume.

Plugging in the values:

(6.00 M)(48.0 mL) = (M2)(0.250 L)

and solving for M2, we find:

M2 = (6.00 M)(48.0 mL) / (0.250 L) = 1152 M

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Answer:

1.152 M.

Explanation:

  • It is known that the no. of millimoles of a substance before dilution is equal to the no. of millimoles after dilution.

∴ (MV) before dilution = (MV) after dilution

before dilution: M = 6.0 M, V = 48.0 mL.

after dilution: M = ??? M, V = 0.25 L = 250.0 mL.

∴ M after dilution = (MV) before dilution/(V) after dilution = (6.0 M)(48.0 mL)/(250.0 mL) = 1.152 M.