Please help with Algebra 2 question?

2015-11-02 5:21 pm
The carbon (C) in the compound C3H3CI5 weighed 66g. how much did the hydrogen (H) weigh?
(C, 12; H, 1; CI, 35)

回答 (2)

2015-11-02 5:44 pm
✔ 最佳答案
One molecule of this compound contains 3 carbon atoms, 3 hydrogen atoms, and 5 chlorine atoms. To determine weight of one mole of this compound, use the following equation.

3 * 12 + 3 * 1 + 5 * 35 = 214 grams
To determine the fraction of its weight that is carbon, use the following equation.

Fraction = Mass C / Mass C3H3CI5 = 66/214
This is approximately 0.3084. To determine the fraction of the weight that is hydrogen use the following equation.

Fraction = Mass H/ Mass C3H3CI5= 3/214
This is approximately 0.014.
To determine the ratio of these two fractions, divide them.

3/214 ÷ 66/214 = 1/12
To determine the mass of hydrogen, multiply the mass of carbon by this fraction.
Mass = 66 * 1/12 = 5.5 grams

OR

The ratio of the subscripts in the formula of a compound determine the ratio of the number of moles of each element in the compound. In this compound the subscript of C and H are the same. This means the number of moles is the same. To determine the number of moles, divide the mass by the mass of one mole. For carbon, 12 grams is the mass of one mole.

Number of moles = 66 ÷ 12 = 5.5
This is the number of moles hydrogen.

Mass = 5.5 * 1 = 5.5 grams
I am sorry about my previous mistake. I misread the problem. This is actually a chemistry problem.
2015-11-02 5:29 pm
3 units of carbon = 66g
1 unit of carbon = 22g

Let x be the weight of one unit of hydrogen:

Ratio of weights of carbon to hydrogen is 12:1:
12/1 = 22/x

Cross multiply:
12x = 22
x = 22/12
x = 11/6

But in the compound there are *3* units of hydrogen, so multiply by 3:
3x = 33/6
= 5.5g

Answer:
The weight of the hydrogen in the compound is 5.5g

P.S. As a shortcut, you could have noticed that the number of molecules of carbon and hydrogen were the same, so you could have just solved it as:
12/1 = 66/h
12h = 66
h = 66/12
h = 5.5g


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