Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Answer:201.9 grams
Explanation:
To determine how many grams of Cl₂ will be produced along with 250.0 kJ of heat in the given reaction, we need to follow these steps:
1. **Understand the reaction and its enthalpy change:**
The given reaction is:
\[
\text{PCl}_5(g) + 87.9 \, \text{kJ} \rightarrow \text{PCl}_3(g) + \text{Cl}_2(g)
\]
This indicates that 87.9 kJ of heat is required to produce 1 mole of Cl₂.
2. **Calculate the number of moles of Cl₂ produced with 250.0 kJ of heat:**
Using the given enthalpy change, we can set up a proportion to find the moles of Cl₂ produced by 250.0 kJ of heat:
\[
\frac{1 \text{ mole of Cl}_2}{87.9 \, \text{kJ}} = \frac{n \, \text{moles of Cl}_2}{250.0 \, \text{kJ}}
\]
Solving for \(n\):
\[
n = \frac{250.0 \, \text{kJ}}{87.9 \, \text{kJ/mole}}
\]
\[
n \approx 2.844 \, \text{moles of Cl}_2
\]
3. **Convert moles of Cl₂ to grams:**
The molar mass of Cl₂ is calculated as follows:
- The atomic mass of Cl (chlorine) is approximately 35.5 g/mol.
- Since Cl₂ consists of two chlorine atoms, its molar mass is \( 2 \times 35.5 \, \text{g/mol} = 71.0 \, \text{g/mol} \).
Now, we convert moles to grams:
\[
\text{Mass of Cl}_2 = n \times \text{molar mass of Cl}_2
\]
\[
\text{Mass of Cl}_2 = 2.844 \, \text{moles} \times 71.0 \, \text{g/mol}
\]
\[
\text{Mass of Cl}_2 \approx 201.964 \, \text{g}
\]
Therefore, approximately 201.964 grams of Cl₂ will be produced along with 250.0 kJ of heat in the given reaction.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
