Question

What is the composition, in atom percent, of an alloy that consists of 92.5 wt g and 7.5 wtu?

Answer 1

To calculate the atom percent composition of an alloy, convert the weight percent composition to the mass of each element, calculate the moles of each element using their atomic weights, calculate the total moles of the alloy, and finally calculate the atom percent composition by dividing the moles of each element by the total moles and multiplying by 100. In this case, the composition in atom percent of the alloy is 93.7% X and 6.3% Y.

Step-by-step explanation:

To calculate the atom percent composition of an alloy, we need to know the atomic weights of the elements that make up the alloy. Let's assume that the alloy consists of element X and element Y. If the alloy contains 92.5 wt% X and 7.5 wt% Y, we can calculate the atom percent composition as follows:

1. Convert the weight percent composition to the mass of X and Y. If the alloy weighs 100 grams, then 92.5 wt% X is equal to 92.5 grams of X and 7.5 wt% Y is equal to 7.5 grams of Y.
2. Calculate the moles of X and Y using their atomic weights. Let's say the atomic weight of X is 25 g/mol and the atomic weight of Y is 30 g/mol. Therefore, the moles of X is 92.5 grams / 25 g/mol = 3.7 mol and the moles of Y is 7.5 grams / 30 g/mol = 0.25 mol.
3. Calculate the total moles of the alloy, which is the sum of moles of X and Y. In this case, the total moles is 3.7 mol + 0.25 mol = 3.95 mol.
4. Finally, calculate the atom percent composition by dividing the moles of each element by the total moles and multiplying by 100. The atom percent of X is (3.7 mol / 3.95 mol) * 100 = 93.7% and the atom percent of Y is (0.25 mol / 3.95 mol) * 100 = 6.3%.

Therefore, the composition in atom percent of the alloy is 93.7% X and 6.3% Y.