QuestionJuly 22, 2025

Convert the following measurement. 5.26times 10^8(mol)/(kgcdot m^2)=square (mol)/(gcdot cm^2)

Convert the following measurement. 5.26times 10^8(mol)/(kgcdot m^2)=square (mol)/(gcdot cm^2)
Convert the following measurement. 5.26times 10^8(mol)/(kgcdot m^2)=square (mol)/(gcdot cm^2)

Solution
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Answer

5.26 \times 10^9 \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: 5.26 \times 10^8 \frac{\text{mol}}{\text{kg} \cdot \text{m}^2} \times \frac{1}{1000} = 5.26 \times 10^5 \frac{\text{mol}}{\text{g} \cdot \text{m}^2}. 2. Convert m² to cm² 1 \text{ m}^2 = 10^4 \text{ cm}^2, so multiply by 10^4: 5.26 \times 10^5 \frac{\text{mol}}{\text{g} \cdot \text{m}^2} \times 10^4 = 5.26 \times 10^9 \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 $1000$: $5.26 \times 10^8 \frac{\text{mol}}{\text{kg} \cdot \text{m}^2} \times \frac{1}{1000} = 5.26 \times 10^5 \frac{\text{mol}}{\text{g} \cdot \text{m}^2}$.<br />2. Convert m² to cm²<br /> $1 \text{ m}^2 = 10^4 \text{ cm}^2$, so multiply by $10^4$: $5.26 \times 10^5 \frac{\text{mol}}{\text{g} \cdot \text{m}^2} \times 10^4 = 5.26 \times 10^9 \frac{\text{mol}}{\text{g} \cdot \text{cm}^2}$.
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