Question

Determine the % composition of A3Z7, these newly discovered elements have molar mass of 296.3g/mole for A and 307.6g/mol for Z.

Answer 1

To determine the percentage composition of A3Z7, the molar mass of each element (A and Z) within the compound is multiplied by the number of times it appears, and this total is divided by the compound's total molar mass, then multiplied by 100. Element A has a percentage composition of approximately 29.2%, and element Z has a percentage composition of approximately 70.8% in the compound A3Z7.

Step-by-step explanation:

To calculate the percentage composition of the compound A3Z7, we need to know the molar masses of the elements A and Z. According to the question, the molar mass of element A is 296.3 g/mol and that of element Z is 307.6 g/mol. First, we calculate the total molar mass of the compound as follows:

1. Molar mass of A in A3Z7 = 3 × 296.3 g/mol = 888.9 g/mol
2. Molar mass of Z in A3Z7 = 7 × 307.6 g/mol = 2153.2 g/mol
3. Total molar mass of A3Z7 = 888.9 g/mol + 2153.2 g/mol = 3042.1 g/mol

Now, we calculate the percentage composition of each element in the compound:

1. Percent composition of A = (molar mass of A in A3Z7 / total molar mass of A3Z7) × 100%
   = (888.9 g/mol / 3042.1 g/mol) × 100%
   ≈ 29.2%
2. Percent composition of Z = (molar mass of Z in A3Z7 / total molar mass of A3Z7) × 100%
   = (2153.2 g/mol / 3042.1 g/mol) × 100%
   ≈ 70.8%

Therefore, the percentage composition of A in the compound A3Z7 is approximately 29.2%, and the percentage composition of Z is approximately 70.8%.