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3. Given: - 99.97 g chromium - 204.47 g chlorine - 184.56 g oxygen Wanted: percent composition by mass?

Ask by Wang Lewis. in the United States
Jan 27,2025

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The percent composition by mass is: - Chromium: 20.44% - Chlorine: 41.81% - Oxygen: 37.74%

Solución

To find the percent composition by mass of chromium, chlorine, and oxygen in the given mixture, we need to calculate the percentage of each element in the mixture. Given: - Mass of chromium = 99.97 g - Mass of chlorine = 204.47 g - Mass of oxygen = 184.56 g Total mass of the mixture = Mass of chromium + Mass of chlorine + Mass of oxygen Total mass of the mixture = 99.97 g + 204.47 g + 184.56 g Total mass of the mixture = 489.00 g Now, we can calculate the percentage of each element in the mixture: - Percentage of chromium = (Mass of chromium / Total mass of the mixture) * 100 - Percentage of chlorine = (Mass of chlorine / Total mass of the mixture) * 100 - Percentage of oxygen = (Mass of oxygen / Total mass of the mixture) * 100 Let's calculate the percentages: Calculate the value by following steps: - step0: Calculate: \(\left(\frac{99.97}{489}\right)\times 100\) - step1: Divide the terms: \(\frac{9997}{48900}\times 100\) - step2: Reduce the numbers: \(\frac{9997}{489}\times 1\) - step3: Multiply: \(\frac{9997}{489}\) Calculate or simplify the expression \( (204.47 / 489.00) * 100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{204.47}{489}\right)\times 100\) - step1: Divide the terms: \(\frac{20447}{48900}\times 100\) - step2: Reduce the numbers: \(\frac{20447}{489}\times 1\) - step3: Multiply: \(\frac{20447}{489}\) Calculate or simplify the expression \( (184.56 / 489.00) * 100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{184.56}{489}\right)\times 100\) - step1: Divide the terms: \(\frac{1538}{4075}\times 100\) - step2: Reduce the numbers: \(\frac{1538}{163}\times 4\) - step3: Multiply: \(\frac{1538\times 4}{163}\) - step4: Multiply: \(\frac{6152}{163}\) The percent composition by mass of chromium, chlorine, and oxygen in the given mixture is: - Chromium: 20.44% - Chlorine: 41.81% - Oxygen: 37.74%

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To find the percent composition by mass of each element in the compound, first you'll need to determine the total mass of all elements combined. Add up the masses: \(99.97 \, \text{g (Cr)} + 204.47 \, \text{g (Cl)} + 184.56 \, \text{g (O)} = 489.00 \, \text{g}\). Then, to find the percent composition for each element, use the formula: \(\left(\frac{\text{mass of element}}{\text{total mass}}\right) \times 100\). For chromium: \(\left(\frac{99.97}{489.00}\right) \times 100 \approx 20.4\%\); for chlorine: \(\left(\frac{204.47}{489.00}\right) \times 100 \approx 41.8\%\); and for oxygen: \(\left(\frac{184.56}{489.00}\right) \times 100 \approx 37.8\%\). Now you’ve got your percent compositions! Just remember, making sure every calculation is accurate gives you the best results. Double-check your values and calculations to avoid those pesky mistakes that can sneak in!

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