The mass of an average blueberry is 0.75 g and the mass of an automobile is 2.0×10³ kg. Find the number of automobiles whose total mass is the same as 1.0 mol of blueberries.

검증된 단계별 안내

Determine the mass of 1.0 mol of blueberries. Since the molar mass of a substance is the mass of 6.022 x 10^23 particles (Avogadro's number), multiply the mass of one blueberry by Avogadro's number to find the mass of 1.0 mol of blueberries.

Convert the mass of the automobile from kilograms to grams for consistency in units, as the mass of the blueberry is given in grams. Recall that 1 kg equals 1000 grams.

Calculate the total mass of 1.0 mol of blueberries in grams using the conversion from step 1.

Divide the total mass of 1.0 mol of blueberries by the mass of one automobile (converted to grams in step 2) to find the number of automobiles needed to equal this mass.

Ensure all units are consistent and check calculations for accuracy to ensure the correct number of automobiles is determined.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

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

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For blueberries, the average mass is 0.75 g, which means that one mole of blueberries would weigh 0.75 g multiplied by Avogadro's number (approximately 6.022 x 10^23), allowing us to calculate the total mass of 1.0 mol of blueberries.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this problem, we need to convert the mass of the automobile from kilograms to grams (1 kg = 1000 g) to facilitate a direct comparison with the mass of blueberries, ensuring that both quantities are expressed in the same unit.

Ratio and Proportion

Ratio and proportion involve comparing two quantities to determine how many times one quantity contains another. In this context, once we have the total mass of 1.0 mol of blueberries and the mass of a single automobile, we can set up a ratio to find out how many automobiles would equal the total mass of the blueberries, allowing us to solve the problem effectively.

The mass of an average blueberry is 0.75 g and the mass of an automobile is 2.0×103 kg. Find the number of automobiles whose total mass is the same as 1.0 mol of blueberries.