Question

What is the composition, in atom percent, of an alloy that consists of 92.5 wt% ag and 7.5 wt% cu?

Answer 1

The composition of the alloy, in atom percent, is approximately 85.75% Ag and 11.80% Cu.

Step-by-step explanation:

The composition of an alloy is typically expressed in atom percent. To determine the atom percent composition of an alloy, we need to convert the weight percent composition to mole percent composition and then convert to atom percent composition.

For the given alloy with 92.5 wt% Ag and 7.5 wt% Cu:

1. Convert the weight percent of each element to mole percent using the molar masses of Ag and Cu.
2. Convert the mole percent of each element to atom percent using the atomic masses of Ag and Cu.

Let's do the calculations:

Ag:
Molar mass of Ag = 107.87 g/mol
Mole percent of Ag = (92.5 wt% / 107.87 g/mol) * 100% = 85.75 mol% Ag
Atom percent of Ag = (85.75 mol% / 100%) * 100% = 85.75 at% Ag

Cu:
Molar mass of Cu = 63.55 g/mol
Mole percent of Cu = (7.5 wt% / 63.55 g/mol) * 100% = 11.80 mol% Cu
Atom percent of Cu = (11.80 mol% / 100%) * 100% = 11.80 at% Cu

Therefore, the composition of the alloy, in atom percent, is approximately 85.75% Ag and 11.80% Cu.

Answer 2

To find the atom percent of silver (Ag) and copper (Cu) in the alloy, convert the weight percent to mole percent. For 92.5 wt% Ag and 7.5 wt% Cu, the atom percent of Ag is approximately 92.18% and the atom percent of Cu is approximately 7.82%.

Step-by-step explanation:

The composition of an alloy is expressed in atom percent, which represents the proportion of each type of atom in the alloy. To find the atom percent of silver (Ag) and copper (Cu) in the alloy, we first need to convert the weight percent to mole percent.

For 92.5 wt% Ag and 7.5 wt% Cu, we can assume 100 grams of the alloy. The moles of Ag can be calculated by dividing the weight of Ag by its molar mass, and the moles of Cu can be calculated by dividing the weight of Cu by its molar mass.

Then, we can calculate the atom percent of each element by dividing the moles of each element by the total moles of both elements and multiplying by 100. In this case, the atom percent of Ag is approximately 92.18% and the atom percent of Cu is approximately 7.82%.