The question; The mass of element Q found in 1.00 mole of each of four different compounds is 38.0 grams, 57.0 grams, 76.0 grams, and 114 grams, respectively. A possible atomic weight of Q is;
Answer;
Atomic weight of Q = 19 g
Solution and explanation;
A possible atomic mass of Q has to be a factor of 38, 57, 76, and 114.
Because the number of atoms of Q in any compound must be a whole number.
-Finding a greatest common Divider of 38, 57, 76, and 114
38 = 2(19)
57 = 3(19)
76 = 4(19)
114 = 6(19)
Thus; the greatest common divider is 19
Hence, the possible atomic mass of Q is 19 g
Missing question: A possible atomic weight of Q is?
A)12.7.
B)19.0.
C)27.5
D)38.0
E)57.0.
Answer is: possible atomic weight of Q is B) 19.0.
Molecular weight of first molecule is 38.0 g/mol.
Molecular weight of second molecule is 57.0 g/mol.
Molecular weight of third molecule is 76.0 g/mol.
Molecular weight of fourth molecule is 114.0 g/mol.
All four molecular weights can be division only by 19 to get whole number:
Molecule 1 (38 ÷ 19 = 2), molecule 2 (57 ÷ 19 = 3), molecule 3 (76 ÷ 19 = 4) and molecule 4 ( 114 ÷ 19 = 6).
Molecular formulas are than Q₂, Q₃, Q₄ and Q₆.
