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ID: 476857 • Letter: P
Question
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Explanation / Answer
Forty million trillion (4x10^19) formula units of A have a mass of 4.26 milligrams.
*47.9 grams of substance B contains 5.36 grams of hydrogen and 42.5 grams of oxygen.
40 million trillion ==40×10^6×10^12=4.000×10^19
where we have used 4 S.F.
4.000×10^19 moleculces of A×1 mol A /6.022×10^23=6.642×10^5mol A
Molar mass of A=4.26×10^3g A / 6.642×10^5mol A=64.1 g/mol
The mass of carbon in one mole of A is
=64.1 g A×37.5 g C /100.0 g A=24.0 g carbon=2 mo lcarbon in substance A
The remainder of the molar mass (64.1 g – 24.0 g = 40.1 g) is due to the alkaline earth metal.From the periodic table, calcium has a molar mass of 40.08 g/mol; therefore,
th e formula of substance A is CaC -answer
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MW A = .00426 g / [4 x 10^19 / 6.02 x 10^23] = 64, which is 40 + 2*12 for CaCarbon2,
B is H2O, from mass ratio and AtWts H&O
Since C burns giving H2O and CO2, C contains Carbon and Hydrogen.
10 g C gives 33.8 g CO2. CO2 is 12/44 Carbon, so 33.8 g CO2 contains 33.8*12/44g =9.21 g Carbon. 1 g C contains .921 g Carbon.
6.92 g H2O contains 6.92*2/18 = .769g Hydrogen, 1g C contains .0769 g Hydrogen.
.921 gCarbon /12 g/mol = .07675 mol carbon
.0769 g H/ 1 g/mol = .0769 Hydrogen
.07675/.0769 = 1.00 [rounding and at wt errors showing up here, carbon not 12 but 12.011, O 15.994, etc]
So substance has equal numbers of Hydrogen and Carbon atoms, ie, formula is CH, or C2H2, or C3H3, etc.
MW C = 26 means formula is C2H2, acetylene.
So A + B => C + D is CaC2 + H2O => C2H2 + CaO
So 45g A = 45/64 = .703 mol, so you will get .703 mol C2H2, ie .703*12 = 18.3 g acetylene.
47.9 grams B contains 5 .4 grams of H and 42.5 grams of O
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