A small airplane takes on 245 L of fuel. If the density of the fuel is 0.821 g/mL, what mass of fuel has the airplane taken on?

검증된 단계별 안내

Identify the given values: volume of fuel = 245 L and density of fuel = 0.821 g/mL.

Convert the volume from liters to milliliters, knowing that 1 L = 1000 mL.

Use the formula for mass: \( \text{mass} = \text{density} \times \text{volume} \).

Substitute the converted volume and given density into the formula.

Calculate the mass of the fuel using the substituted values.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Density

Density is defined as the mass of a substance per unit volume, typically expressed in grams per milliliter (g/mL) or kilograms per cubic meter (kg/m³). It is a crucial property that helps determine how much mass is contained in a given volume of a substance. In this question, the density of the fuel is provided, allowing us to calculate the mass of the fuel based on its volume.

Volume

Volume is the amount of space that a substance occupies, measured in liters (L), milliliters (mL), or cubic centimeters (cm³). In this scenario, the airplane takes on 245 L of fuel, which is the volume we will use in conjunction with the density to find the mass. Understanding how to convert between different volume units is also important in solving such problems.

Mass Calculation

Mass can be calculated using the formula: mass = density × volume. This relationship allows us to find the mass of a substance when its density and volume are known. In this case, by multiplying the density of the fuel (0.821 g/mL) by the volume of fuel taken on (245 L), we can determine the total mass of the fuel in grams.