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

Question

UpStudy AI · Accepted Answer

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:
  $$\left(\frac{99.97}{489}ight)	imes 100$$
- step1: Divide the terms:
  $$\frac{9997}{48900}	imes 100$$
- step2: Reduce the numbers:
  $$\frac{9997}{489}	imes 1$$
- step3: Multiply:
  $$\frac{9997}{489}$$
Calculate or simplify the expression $$ (204.47 / 489.00) * 100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{204.47}{489}ight)	imes 100$$
- step1: Divide the terms:
  $$\frac{20447}{48900}	imes 100$$
- step2: Reduce the numbers:
  $$\frac{20447}{489}	imes 1$$
- step3: Multiply:
  $$\frac{20447}{489}$$
Calculate or simplify the expression $$ (184.56 / 489.00) * 100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{184.56}{489}ight)	imes 100$$
- step1: Divide the terms:
  $$\frac{1538}{4075}	imes 100$$
- step2: Reduce the numbers:
  $$\frac{1538}{163}	imes 4$$
- step3: Multiply:
  $$\frac{1538	imes 4}{163}$$
- 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%
The percent composition by mass is: - Chromium: 20.44% - Chlorine: 41.81% - Oxygen: 37.74%

Given:

99.97 g chromium

204.47 g chlorine

184.56 g oxygen
Wanted: percent composition by mass?

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