Question

T and Z are two elements which form T2Zz and TZ2 molecules. If 0.1 mol of T2Z3 and TZ2 weighs 16.9 g and 10.3 g respectively. What are the atomic mass of T and Z?

A) T = 5.3 g/mol, Z = 1.8 g/mol
B) T = 2.6 g/mol, Z = 3.5 g/mol
C) T = 4.2 g/mol, Z = 2.1 g/mol
D) T = 1.9 g/mol, Z = 5.4 g/mol

Answer 1

The atomic mass of T is 2.6 g/mol and the atomic mass of Z is 3.5 g/mol.

Step-by-step explanation:

To find the atomic mass of T and Z, we need to use the information given about the molar masses of T2Z3 and TZ2 molecules and their corresponding weights. The molar mass can be calculated by dividing the weight of a substance by the number of moles. Let's assume the atomic masses of T and Z are x and y, respectively.

For T2Z3: molar mass = (2x + 3y) g/mol, weight = 16.9 g, and moles = 0.1 mol. So, (2x + 3y) = 16.9/0.1 = 169 g/mol.

For TZ2: molar mass = (x + 2y) g/mol, weight = 10.3 g, and moles = 0.1 mol. So, (x + 2y) = 10.3/0.1 = 103 g/mol.

Solving the two equations, we get x = 2.6 g/mol and y = 3.5 g/mol. Therefore, the atomic mass of T is 2.6 g/mol and the atomic mass of Z is 3.5 g/mol.