the mass of element Q found in 1.00 mole of each of four compounds is 38.0 grams, 57.0 grams, 76.0 grams and 114 grams.

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.