Question 1

convert 3750 ml to the unit dm3.

3.75 x 104 dm3

3.75 dm3

3.75 x 10-2 dm3

3.75 x 106 dm3



question 2

convert 1.03 g/ml to the unit g/m3.

1.03 x 106 g/m3

1.03 x 102 g/m3

1.03 x 10-2 g/m3

1.03 x 10-6 g/m3

Q1. The answer is 3.75 dm3 .


It is known that 1 L = 1 dm³

Step 1: Convert mL to L.
Step 2: Convert L to dm³

Step 1: Convert 3750 mL to L
            1 L = 1000 mL
        ⇒ 1 mL = 1/1000 L = 0.001 L
        ⇒ 3750 mL = 3750 · 0.001 L = 3.75 L

Step2: Convert 3.75 L to dm³
            1 L = 1 dm³
        ⇒ 3.75 L = 3.75 · 1 dm³ = 3.75 dm³
           

Q2. The answer is 1.03 x 106 g/m3 
 
Step 1: Convert g/mL to g/L
Step 2: Convert g/L to g/dm³
Step 3: Convert g/dm³ to g/m³

Step 1: Convert 1.03g/mL to g/L
            1 L = 1000 mL
            1 mL = 0.0001 L
            1.03g/mL = 1.03g/1mL = 1.03g/0.001 L = 1030 g/L
Step 2: Convert 1030 g/L to g/dm³
            1L = 1 dm³
            1030 g/L = 1030g/1L = 1030g/1dm³ = 1030 g/dm³
Step 3: Convert 1030 g/dm³ to g/m³
            1 dm³ = 0.001 m³
            1030 g/dm³ = 1030g/1dm³= 1030g/0.001m³ = 1030000 g/m³

1030000 g/m³ = 1.03 · 1000000 g/m³ = 1.03 · 10⁶ g/m³

Can you provide the tape diagram?