Respuesta :
Answer:
percent yield = 40.6 %
Explanation:
The question asks to determine the percent yield, which can be defined as:
percent yield = [tex]\frac{actual yield}{theoretical yield} *100[/tex]
where the actual yield is how much product was obtained, in this case 12.5 g of CClâ‚‚Fâ‚‚, and the theoretical yield is how much product could be obtained with the given reactants theoretically.
So we know already the actual yield, we need to calculate the theoretical yield.
First we need to write the reaction chemical equation:
CCl₄ + HF → CCl₂F₂ + HCl
and balance the equation:
CCl₄ + 2 HF → CCl₂F₂ + 2 HCl
In the equation we can see that for every mol of CClâ‚„ we should get 1 mol of CClâ‚‚Fâ‚‚ (molar ratio 1:1). So if we calculate the moles of CClâ‚„ in the given 39.2 g of CClâ‚„ we could know how many moles of CClâ‚‚Fâ‚‚ (assuming HF is in excess).
- Moles of CClâ‚„ = mass CClâ‚„ / molar mass CClâ‚„
- Molar Mass CClâ‚„ = 12.011 + 4 * 35.45 = 153.811 g/mol
- Moles of CClâ‚„ = 39.2 g / 153.811 g/mol = 0.2549 moles
From the molar ratio we know:
Moles of CClâ‚‚Fâ‚‚ = moles of CClâ‚„ = 0.2549 moles
Now we need to convert these moles into grams to get the theoretical yield of CClâ‚‚Fâ‚‚ in grams:
- mass CClâ‚‚Fâ‚‚ = moles CClâ‚‚Fâ‚‚ * molar mass CClâ‚‚Fâ‚‚
- Molar Mass CClâ‚‚Fâ‚‚ = 12.011 + 2 * 35.45 + 2 * 18.998 = 120.907 g/mol
- Mass CClâ‚‚Fâ‚‚ = 0.2549 moles * 120.907 g/mol = 30.81 g
- Theoretical yield CClâ‚‚Fâ‚‚ = 30.81 g
Percent yield = (12.5 g / 30.81 g) * 100 = 40.6 %