Put it all together to complete this problem: 10. A student measured out 75.8 g of carbon dioxide, \( \mathrm{CO}_{2} \), in the laboratory. How many moles of carbon dioxide did the student measure?

To find the number of moles of carbon dioxide (\( \mathrm{CO}_{2} \)) measured by the student, we can use the molar mass of carbon dioxide and the given mass of carbon dioxide. The molar mass of carbon dioxide (\( \mathrm{CO}_{2} \)) is approximately 44.01 g/mol. Given: Mass of carbon dioxide (\( \mathrm{CO}_{2} \)) = 75.8 g To find the number of moles of carbon dioxide, we can use the formula: \[ \text{Number of moles} = \frac{\text{Mass of substance}}{\text{Molar mass of substance}} \] Substitute the given values into the formula: \[ \text{Number of moles} = \frac{75.8 \, \text{g}}{44.01 \, \text{g/mol}} \] Now, we can calculate the number of moles of carbon dioxide measured by the student. Calculate the value by following steps: - step0: Calculate: \(\frac{75.8}{44.01}\) - step1: Convert the expressions: \(\frac{\frac{379}{5}}{\frac{4401}{100}}\) - step2: Multiply by the reciprocal: \(\frac{379}{5}\times \frac{100}{4401}\) - step3: Reduce the numbers: \(379\times \frac{20}{4401}\) - step4: Multiply: \(\frac{379\times 20}{4401}\) - step5: Multiply: \(\frac{7580}{4401}\) The student measured approximately 1.722 moles of carbon dioxide (\( \mathrm{CO}_{2} \)) in the laboratory.