TRICKY: How many copper atom are in 5.6 moles of Cu_(2)O_(3)

To find the number of copper atoms in 5.6 moles of $Cu_{2}O_{3}$, we need to follow these steps:<br /><br />1. Determine the molar mass of $Cu_{2}O_{3}$.<br />2. Calculate the number of moles of copper atoms in 5.6 moles of $Cu_{2}O_{3}$.<br />3. Convert the number of moles of copper atoms to the number of copper atoms.<br /><br />Step 1: Determine the molar mass of $Cu_{2}O_{3}$.<br />The molar mass of $Cu_{2}O_{3}$ is calculated by adding the molar masses of copper (Cu) and oxygen (O) based on their respective quantities in the compound.<br /><br />Molar mass of Cu = 63.55 g/mol<br />Molar mass of O = 16.00 g/mol<br /><br />Molar mass of $Cu_{2}O_{3}$ = (2 × 63.55 g/mol) + (3 × 16.00 g/mol) = 143.10 g/mol<br /><br />Step 2: Calculate the number of moles of copper atoms in 5.6 moles of $Cu_{2}O_{3}$.<br />Since there are 2 copper atoms in each molecule of $Cu_{2}O_{3}$, we can multiply the number of moles of $Cu_{2}O_{3}$ by 2 to get the number of moles of copper atoms.<br /><br />Number of moles of copper atoms = 5.6 moles of $Cu_{2}O_{3}$ × 2 = 11.2 moles of copper atoms<br /><br />Step 3: Convert the number of moles of copper atoms to the number of copper atoms.<br />To convert the number of moles of copper atoms to the number of copper atoms, we multiply the number of moles by Avogadro's number (6.022 × 10^23 atoms/mol).<br /><br />Number of copper atoms = 11.2 moles of copper atoms × (6.022 × 10^23 atoms/mol) = 6.75 × 10^24 copper atoms<br /><br />Therefore, there are approximately 6.75 × 10^24 copper atoms in 5.6 moles of $Cu_{2}O_{3}$.