QuestionAugust 25, 2025

Convert the following measurement. 4.1times 10^5(mol)/(kgcdot m^2)=square (mol)/(gcdot cm^2)

Convert the following measurement. 4.1times 10^5(mol)/(kgcdot m^2)=square (mol)/(gcdot cm^2)
Convert the following measurement.
4.1times 10^5(mol)/(kgcdot m^2)=square (mol)/(gcdot cm^2)

Solution
4.4(271 votes)

Answer

4.1 \times 10^{4} \frac{\text{mol}}{\text{g} \cdot \text{cm}^{2}} Explanation 1. Convert kg to g 1 \text{ kg} = 1000 \text{ g}, so multiply by 1000: 4.1 \times 10^{5} \frac{\text{mol}}{\text{kg} \cdot \text{m}^{2}} \times 1000 = 4.1 \times 10^{8} \frac{\text{mol}}{\text{g} \cdot \text{m}^{2}}. 2. Convert m² to cm² 1 \text{ m}^{2} = 10^{4} \text{ cm}^{2}, so divide by 10^{4}: 4.1 \times 10^{8} \frac{\text{mol}}{\text{g} \cdot \text{m}^{2}} \div 10^{4} = 4.1 \times 10^{4} \frac{\text{mol}}{\text{g} \cdot \text{cm}^{2}}.

Explanation

1. Convert kg to g<br /> $1 \text{ kg} = 1000 \text{ g}$, so multiply by $1000$: $4.1 \times 10^{5} \frac{\text{mol}}{\text{kg} \cdot \text{m}^{2}} \times 1000 = 4.1 \times 10^{8} \frac{\text{mol}}{\text{g} \cdot \text{m}^{2}}$.<br />2. Convert m² to cm²<br /> $1 \text{ m}^{2} = 10^{4} \text{ cm}^{2}$, so divide by $10^{4}$: $4.1 \times 10^{8} \frac{\text{mol}}{\text{g} \cdot \text{m}^{2}} \div 10^{4} = 4.1 \times 10^{4} \frac{\text{mol}}{\text{g} \cdot \text{cm}^{2}}$.
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