20. Gaseous ammonia reacts with chlorine gas to produce nitrogen gas and hydrogen chloride. What temperature is reached when 95.0 g of gaseous ammonia are reacted producing 30.0 L of hydrogen chloride at 850. torr?

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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question

Show work for it, please!

### Chemistry Problem: Gas Reactions and Temperature Determination

**Problem Statement:**

20. Gaseous ammonia reacts with chlorine gas to produce nitrogen gas and hydrogen chloride. What temperature is reached when 95.0 g of gaseous ammonia are reacted producing 30.0 L of hydrogen chloride at 850. torr?

---

**Detailed Explanation:**

In this problem, we need to determine the temperature at which a reaction occurs, given certain conditions. The reaction involves gaseous ammonia (NH₃) and chlorine gas (Cl₂), which react to produce nitrogen gas (N₂) and hydrogen chloride (HCl).

**Steps to Solve the Problem:**

1. **Identify the Balanced Chemical Equation:**
   \[
   2 \text{NH}_3(g) + 3 \text{Cl}_2(g) \rightarrow \text{N}_2(g) + 6 \text{HCl}(g)
   \]

2. **Convert Mass of Ammonia to Moles:**
   \[
   \text{Moles of NH}_3 = \frac{95.0 \text{ g}}{\text{Molar Mass of NH}_3}
   \]
   The molar mass of NH₃ (NH₃ = N + 3H) = 14 + (3 × 1) = 17 g/mol.
   \[
   \text{Moles of NH}_3 = \frac{95.0 \text{ g}}{17 \text{ g/mol}} \approx 5.59 \text{ moles}
   \]

3. **Determine the Stoichiometric Relationship:**
   From the balanced equation, 2 moles of NH₃ produce 6 moles of HCl. So, for 5.59 moles of NH₃:
   \[
   \text{Moles of HCl} = 5.59 \text{ moles NH}_3 \times \frac{6 \text{ moles HCl}}{2 \text{ moles NH}_3} = 16.77 \text{ moles HCl}
   \]

4. **Use the Ideal Gas Law to Find the Temperature:**
   The ideal gas law is given by \( PV = nRT \).

   Convert the pressure from torr to atm:
   \[
   850 \text{ torr} \times \frac{
Transcribed Image Text:### Chemistry Problem: Gas Reactions and Temperature Determination **Problem Statement:** 20. Gaseous ammonia reacts with chlorine gas to produce nitrogen gas and hydrogen chloride. What temperature is reached when 95.0 g of gaseous ammonia are reacted producing 30.0 L of hydrogen chloride at 850. torr? --- **Detailed Explanation:** In this problem, we need to determine the temperature at which a reaction occurs, given certain conditions. The reaction involves gaseous ammonia (NH₃) and chlorine gas (Cl₂), which react to produce nitrogen gas (N₂) and hydrogen chloride (HCl). **Steps to Solve the Problem:** 1. **Identify the Balanced Chemical Equation:** \[ 2 \text{NH}_3(g) + 3 \text{Cl}_2(g) \rightarrow \text{N}_2(g) + 6 \text{HCl}(g) \] 2. **Convert Mass of Ammonia to Moles:** \[ \text{Moles of NH}_3 = \frac{95.0 \text{ g}}{\text{Molar Mass of NH}_3} \] The molar mass of NH₃ (NH₃ = N + 3H) = 14 + (3 × 1) = 17 g/mol. \[ \text{Moles of NH}_3 = \frac{95.0 \text{ g}}{17 \text{ g/mol}} \approx 5.59 \text{ moles} \] 3. **Determine the Stoichiometric Relationship:** From the balanced equation, 2 moles of NH₃ produce 6 moles of HCl. So, for 5.59 moles of NH₃: \[ \text{Moles of HCl} = 5.59 \text{ moles NH}_3 \times \frac{6 \text{ moles HCl}}{2 \text{ moles NH}_3} = 16.77 \text{ moles HCl} \] 4. **Use the Ideal Gas Law to Find the Temperature:** The ideal gas law is given by \( PV = nRT \). Convert the pressure from torr to atm: \[ 850 \text{ torr} \times \frac{
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Mole Concept
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY