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QuestionFind the mass of Copper in Sample 2 (1.550 g) using the composition of Sample 1 (2.000 g, 0.9450 g Copper).

Studdy Solution

STEP 1

Assumptions1. Sample1 has a mass of .000 g.000 \mathrm{~g} . Sample has a mass of 1.550 g1.550 \mathrm{~g}
3. The mass of chlorine in Sample1 is 1.055 g1.055 \mathrm{~g}
4. The mass of copper in Sample1 is 0.9450 g0.9450 \mathrm{~g}
5. The compound in both samples is composed of only Copper and Chlorine6. The Law of Definite Composition applies, which states that a chemical compound always contains exactly the same proportion of elements by mass

STEP 2

First, we need to find the proportion of copper in Sample1. We can do this by dividing the mass of copper by the total mass of the sample.
Proportion of Copper in Sample 1=Mass of Copper in Sample 1Total Mass of Sample 1Proportion\, of\, Copper\, in\, Sample\,1 = \frac{Mass\, of\, Copper\, in\, Sample\,1}{Total\, Mass\, of\, Sample\,1}

STEP 3

Now, plug in the given values for the mass of copper and total mass of Sample1 to calculate the proportion of copper.
Proportion of Copper in Sample 1=0.9450 g2.000 gProportion\, of\, Copper\, in\, Sample\,1 = \frac{0.9450 \mathrm{~g}}{2.000 \mathrm{~g}}

STEP 4

Calculate the proportion of copper in Sample1.
Proportion of Copper in Sample 1=0.9450 g2.000 g=0.472Proportion\, of\, Copper\, in\, Sample\,1 = \frac{0.9450 \mathrm{~g}}{2.000 \mathrm{~g}} =0.472

STEP 5

Now that we have the proportion of copper in Sample1, we can find the mass of copper in Sample2. This can be done by multiplying the total mass of Sample2 by the proportion of copper.
Mass of Copper in Sample 2=Total Mass of Sample 2timesProportion of Copper in Sample 1Mass\, of\, Copper\, in\, Sample\,2 = Total\, Mass\, of\, Sample\,2 \\times Proportion\, of\, Copper\, in\, Sample\,1

STEP 6

Plug in the values for the total mass of Sample2 and the proportion of copper to calculate the mass of copper in Sample2.
Mass of Copper in Sample 2=1.550 gtimes0.4725Mass\, of\, Copper\, in\, Sample\,2 =1.550 \mathrm{~g} \\times0.4725

STEP 7

Calculate the mass of copper in Sample2.
Mass of Copper in Sample 2=1.550 gtimes0.4725=0.732 gMass\, of\, Copper\, in\, Sample\,2 =1.550 \mathrm{~g} \\times0.4725 =0.732 \mathrm{~g}The mass of Copper in Sample2 is 0.732 g0.732 \mathrm{~g}.

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