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Dimensional Analysis
1. I have 470 milligrams of table salt, which is the chemical compound NaCl. How many
liters of NaCl solution can I make if I want the solution to be 0.90% NaCl? (9 grams of salt
per 1000 grams of solution).
The density of the NaCl solution is 1.0 g solution/mL solution.

Respuesta :

The number of liters of 0.90% NaCl solution one can make from 470 milligrams of table salt is 52.22 mL (milliliters) or 0.0522 L (liters)

In order to determine volume (number of liters) one can make from 470 milligrams of table salt (NaCl)

First, we will convert the unit of concentration to grams per liter or grams per milliliter

From the question, the desired concentration is  0.90% NaCl (9 grams of salt  per 1000 grams of solution)

Since the density of the NaCl solution is 1.0 g solution/mL solution, then

9 grams of salt  per 1000 grams of solution means 9 grams of salt  per 1000 mL of solution.

From the question, mass of the table salt = 470 milligrams = (470/1000) grams

∴ Mass of the table salt = 0.47 grams

Now,

If there are 9 grams of salt  per 1000 mL of solution

Then, there will be 0.47 grams per [tex]x[/tex] mL of solution

∴ [tex]9 \times x = 0.47 \times 1000[/tex] mL

[tex]9x = 470[/tex] mL

[tex]x = \frac{470}{9}[/tex] mL

[tex]x = 52.22[/tex] mL

∴ There will be 0.47 grams per 52.22 mL of solution

Hence, the number of liters of 0.90% NaCl solution one can make from 470 milligrams of table salt is 52.22 mL (milliliters) or 0.0522 L (liters)

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