If the specific gravity of pineapple juice is 1.40 what mass 1 Liter in kilograms?
Given:
- Specific gravity of pineapple juice (SG) = 1.40
- Volume of pineapple juice (V) = 1 Liter
To Find:
- Mass of pineapple juice (m) in kilograms (kg)
Solution:
The specific gravity (SG) is defined as the ratio of the density of a substance to the density of water at 4°C. In this case, the specific gravity of pineapple juice is 1.40, which means that pineapple juice is 1.40 times denser than water.
The density of water at 4°C is 1000 kg/m³. Since the specific gravity of pineapple juice is 1.40, the density of pineapple juice (ρ) can be calculated as follows:
ρ = SG × ρwater
ρ = 1.40 × 1000 kg/m³
ρ = 1400 kg/m³
Now, we can calculate the mass (m) of 1 Liter (0.001 m³) of pineapple juice using the formula:
m = ρ × V
m = 1400 kg/m³ × 0.001 m³
m = 1.4 kg
Therefore, the mass of 1 Liter of pineapple juice is 1.4 kilograms.
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