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Zorluk: KolayProperties of Matter

An automotive technician pours a sample of hydraulic fluid with a density of 0.85 g/cm30.85\text{ g/cm}^3 into a graduated container. If the fluid sample occupies a volume of 200 cm3200\text{ cm}^3, what is the mass of the fluid in grams?

Cevap: 170 g

Cevap

The mass of the hydraulic fluid sample is 170 g170\text{ g}.
Density is defined as the amount of mass contained within a given unit volume (Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}). Rearranging this formula to solve for mass gives Mass=Density×Volume\text{Mass} = \text{Density} \times \text{Volume}. Multiplying the fluid's density of 0.85 g/cm30.85\text{ g/cm}^3 by its volume of 200 cm3200\text{ cm}^3 yields a total mass of 170 g170\text{ g}.

Adım Adım Çözüm

1
State the formula relating mass, density, and volume: Mass=Density×Volume\text{Mass} = \text{Density} \times \text{Volume}.
Mass=0.85 g/cm3×200 cm3\text{Mass} = 0.85\text{ g/cm}^3 \times 200\text{ cm}^3
Density represents mass per unit volume (Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}), so rearranging to solve for mass requires multiplying density by volume.
2
Multiply the numerical values to compute the total mass.
Mass=170 g\text{Mass} = 170\text{ g}
0.85×200=1700.85 \times 200 = 170.

Anahtar Kavram

Calculating mass from density and volume (m=ρ×Vm = \rho \times V)
Tahmini Süre:45s
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Properties of Matter

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