4PH3(g) →→→ P4(g) + 6H₂(g) -> The average rate of consumption of PH3 is 0.048 M s²¹. Based on this average rate, what amount of P4 would be collected in 4.00 minutes in a 15.0 L container? A. 173 moles B. 43.2 moles C. 86.4 moles D. 692 moles E. 346 moles

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Chemical Reaction and Rate Problem**

**Reaction:**  
\[ 4 \text{PH}_3(g) \rightarrow \text{P}_4(g) + 6 \text{H}_2(g) \]

**Problem Statement:**  
The average rate of consumption of \(\text{PH}_3\) is \(0.048 \, \text{M} \, \text{s}^{-1}\). Based on this average rate, what amount of \(\text{P}_4\) would be collected in 4.00 minutes in a 15.0 L container?

**Options:**  
A. 173 moles  
B. 43.2 moles  
C. 86.4 moles  
D. 692 moles  
E. 346 moles  

**Explanation:**

This is a stoichiometry problem involving a chemical reaction and the concept of reaction rates. Here, you are given the rate of consumption of one reactant and asked to calculate the amount of one of the products over a given time period in a specified volume. 

To solve:
1. Calculate the total consumption of \(\text{PH}_3\) in moles over 4 minutes.
2. Apply stoichiometry to determine how much \(\text{P}_4\) is formed from the consumed \(\text{PH}_3\).
Transcribed Image Text:**Chemical Reaction and Rate Problem** **Reaction:** \[ 4 \text{PH}_3(g) \rightarrow \text{P}_4(g) + 6 \text{H}_2(g) \] **Problem Statement:** The average rate of consumption of \(\text{PH}_3\) is \(0.048 \, \text{M} \, \text{s}^{-1}\). Based on this average rate, what amount of \(\text{P}_4\) would be collected in 4.00 minutes in a 15.0 L container? **Options:** A. 173 moles B. 43.2 moles C. 86.4 moles D. 692 moles E. 346 moles **Explanation:** This is a stoichiometry problem involving a chemical reaction and the concept of reaction rates. Here, you are given the rate of consumption of one reactant and asked to calculate the amount of one of the products over a given time period in a specified volume. To solve: 1. Calculate the total consumption of \(\text{PH}_3\) in moles over 4 minutes. 2. Apply stoichiometry to determine how much \(\text{P}_4\) is formed from the consumed \(\text{PH}_3\).
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