3. Diesel fuel has a density of 0.839g/mL What is the volume, in gallons, of 2.3 kg of diesel? [1 gallon = 3.79 L)

0.71 gal

Explanation:

Step 1: Given data

Density of Diesel (ρ): 0.839 g/mL

Mass of Diesel (m): 2.3 kg

Step 2: Convert "m" to grams

We will use the relationship 1 kg = 10³ g.

2.3 kg × (10³g/1 kg) = 2.3 × 10³ g

Step 3: Calculate the volume (V) of the Diesel sample

We will use the density formula.

ρ = m/V

V = m/ρ

V = 2.3 × 10³ g/(0.839 g/mL)

V = 2.7 × 10³ mL

Step 4: Convert "V" to L

We will use the relationship 1 L = 10³ mL.

2.7 × 10³ mL × (1 L / 10³ mL) = 2.7 L

Step 5: Convert "V" to gal

We will use the relationship 1 gal = 3.79 L.

2.7 L × (1 gal/3.79 L) = 0.71 gal