1. How many molecules are contained in each compound? a. 1.35 mol of carbon disulfide (CS_(2)) b. 0.254 mol of diarsenic trioxide (As_(2)O_(3)) c. 1.25 mol of water d. 150.0 mol of HCl

To determine the number of molecules in each compound, we need to use Avogadro's number, which is \(6.022 \times 10^{23}\) molecules per mole.<br /><br />Let's calculate the number of molecules for each compound:<br /><br />a. **1.35 mol of carbon disulfide (CS₂)**<br /><br />\[ \text{Number of molecules} = \text{moles} \times \text{Avogadro's number} \]<br />\[ \text{Number of molecules} = 1.35 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} \]<br />\[ \text{Number of molecules} = 8.1297 \times 10^{23} \, \text{molecules} \]<br /><br />b. **0.254 mol of diarsenic trioxide (As₂O₃)**<br /><br />\[ \text{Number of molecules} = 0.254 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} \]<br />\[ \text{Number of molecules} = 1.529 \times 10^{23} \, \text{molecules} \]<br /><br />c. **1.25 mol of water (H₂O)**<br /><br />\[ \text{Number of molecules} = 1.25 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} \]<br />\[ \text{Number of molecules} = 7.5275 \times 10^{23} \, \text{molecules} \]<br /><br />d. **150.0 mol of HCl**<br /><br />\[ \text{Number of molecules} = 150.0 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} \]<br />\[ \text{Number of molecules} = 9.033 \times 10^{25} \, \text{molecules} \]<br /><br />So, the number of molecules contained in each compound is:<br /><br />a. \(8.1297 \times 10^{23}\) molecules of CS₂<br />b. \(1.529 \times 10^{23}\) molecules of As₂O₃<br />c. \(7.5275 \times 10^{23}\) molecules of H₂O<br />d. \(9.033 \times 10^{25}\) molecules of HCl