Question

Suppose you have 150. mL of a substance with a density of 42.0 g/dm and want to determine the mass of the substance. The calculation can be broken down into three steps. First, convert the volume from milliliters to liters. Then, convert the volume from liters to cubic decimeters. Finally, determine the mass of the sample in grams. Show the unit analysis by placing the correct components into the unit-factor slots. The question marks (?) represent the answer to the previous step. IL Step 1. 150. mL X = ?L Answer Bank 1000 mL 1 dm 10 dm 1 dm Step 2. ? LX = ? dm3 IL 42.0L 1L 1000 mL 100 mL 42.0 g Step 3. ? dmx = ? g 1000 L 1 mL 1 dm 42.0 g Now, calculate the result of each step, ending with the mass of the substance after step 3. Step 1: 0.150 L Step 2: 0.150 dm3 Step 3: 5 g Incorrect

Answer 1

step 1.

$150 ml\times \frac{1L}{1000ml}=0.15 L$

Answer: 0.15 L

Step 2.

$0.15L\times \frac{1dm^3}{1L}=0.15 dm^3$

Answer: 0.15 dm³

Step 3.

$0.15dm^3\times \frac{42.0g}{1dm^3}=6.3 g$

Answer: 6.3 g

Thank You.