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What quantity (in mL) of a 45% acid solution of a monoprotic strong acid must be mixed with a 20% solution of the same acid to produce 800 mL of a 29.875% acid solution? -

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Question

What quantity (in mL) of a 45% acid solution of a monoprotic strong acid must be mixed with a 20% solution of the same acid to produce 800 mL of a 29.875% acid solution?

Options

  • 320

  • 325

  • 316

  • 330

MCQ

Solution

316

Explanation:

Let N mL 45% acid is used,

mL for 20% acid = 800 − N

Hence, using the concentration formula,

45N + 20(800 − N) = 800 × 29.875

∴ 45N + 16000 − 20N = 23900

25N = 23900 − 16000

N = `7900/25` = 316 mL

Hence 316 mL of 45% concentration acid should be mixed with 20% of the solution of the same acid to produce 800 mL of a 29.875% acid solution.

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