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Chapter 6: Problem 16

Use the conversion tables or formulas on the inside back cover of the textbook for conversion equivalencies. You want to make up a saline (salt) solution in chemistry lab that has 12 grams of salt per 100 milliliters of water. How many grams of salt would you use if you needed 15 milliliters of solution for your experiment?

Short Answer

Expert verified
Answer: 1.8 grams of salt are needed for a 15 milliliters solution.

Step by step solution

01

Understand the given information

We are given a solution with 12 grams of salt in 100 milliliters of water. We need to calculate the grams of salt required for 15 milliliters of solution.
02

Set up the proportion

To find the grams of salt required for 15 milliliters of solution, we can set up a proportion. Let's use x to represent the grams of salt required for 15 milliliters of solution. Given: 12 grams of salt per 100 milliliters of solution We can write the proportion as: \[ \frac{12 \text{ grams}}{100 \text{ mL} } = \frac{x \text{ grams}}{15 \text{ mL} }\]
03

Solve for x

To find the grams of salt required for 15 milliliters of solution, we need to solve for x. \[ 12 \cdot 15 = 100 \cdot x\] \[ x = \frac{12 \cdot 15}{100} \]
04

Calculate x

Now, we will calculate the value of x: \[ x = \frac{12 \cdot 15}{100} = \frac{180}{100} = 1.8 \]
05

Interpret the result

The value of x is 1.8 grams, which means that for 15 milliliters of solution, we need 1.8 grams of salt.

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