How many molecules are there in 200 grams of CCl_(4)

To find the number of molecules in 200 grams of $CCl_{4}$, we need to follow these steps:<br /><br />1. Calculate the molar mass of $CCl_{4}$.<br />2. Convert the given mass of $CCl_{4}$ to moles.<br />3. Use Avogadro's number to find the number of molecules.<br /><br />Step 1: Calculate the molar mass of $CCl_{4}$.<br />The molar mass of $CCl_{4}$ is the sum of the molar masses of carbon (C) and chlorine (Cl).<br />Molar mass of C = 12.01 g/mol<br />Molar mass of Cl = 35.45 g/mol<br />Molar mass of $CCl_{4}$ = 12.01 g/mol + (4 × 35.45 g/mol) = 153.81 g/mol<br /><br />Step 2: Convert the given mass of $CCl_{4}$ to moles.<br />Given mass of $CCl_{4}$ = 200 grams<br />Moles of $CCl_{4}$ = Given mass / Molar mass<br />Moles of $CCl_{4}$ = 200 g / 153.81 g/mol = 1.30 moles<br /><br />Step 3: Use Avogadro's number to find the number of molecules.<br />Avogadro's number = 6.022 × 10^23 molecules/mol<br />Number of molecules = Moles × Avogadro's number<br />Number of molecules = 1.30 moles × 6.022 × 10^23 molecules/mol = 7.83 × 10^23 molecules<br /><br />Therefore, there are approximately 7.83 × 10^23 molecules in 200 grams of $CCl_{4}$.