You need to know the volume of water in a small swimming pool, but, owing to the pool's irregular shape, it is not a simple matter to determine its dimensions and calculate the volume. to solve the problem, you stir in a solution of a dye (1.00 g of methylene blue, c16h18cln3s, in 50.0 ml of water). after the dye has mixed with the water in the pool, you take a sample of the water. using a spectrophotometer, you determine that the concentration of the dye in the pool is 3.74 × 10-8 m. what is the volume of water in the pool in liters? the molar mass of methylene blue is 319.854 g/mol.

Explanation:

1) Data:

a) Solution of a dye:

b) Water of the pool, after mixing the dye:

2) Formulae:

a) Molarity: M = n / V in liter

b) Molar mass: MM = mass in grams / number of moles

3) Solution:

a) Number of moles of methylene blue in the prepared solution:

b) Number of moles of methylen blue in the pool = number of moles of methylen blue in the prepared solution

c) Volume of the pool:

And that is the answer, which has to be rounded to 3 significant figures, since the data are expressed with 3 significant figures.

Note: For all the effects, the 50.0 mL of the dye solution are neglictible in front of the volume of the pool.

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there are two significant figures.