11.4 If 42.0 kJ of heat is added to a 32.0-g sample of liquid methane under 1 atm of pressure at a temperature of –170°C, what are the final state and temperature of the methane once the system equilibrates? Assume no heat is lost to the surroundings. The normal boiling point of methane is –161.5°C. The specific heats of liquid and gaseous methane are 3.48 and 2.22 J/g-K, respectively [find more in Section 11.4]. P = 1.00 atm 42.0 kJ 32.0 g CH4 AHvap = 8.20 kJ/mol T = -170 °C

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
Transcription and Explanation:

---

**11.4** If 42.0 kJ of heat is added to a 32.0-g sample of liquid methane under 1 atm of pressure at a temperature of −170°C, what are the final state and temperature of the methane once the system equilibrates? Assume no heat is lost to the surroundings. The normal boiling point of methane is −161.5°C. The specific heats of liquid and gaseous methane are 3.48 and 2.22 J/g-K, respectively [find more in **Section 11.4**].

---

**Diagram Explanation:**

- **Apparatus Description:** The diagram shows a cylindrical container with a piston at the top, maintaining a constant pressure of 1.00 atm on the contained sample.
- **Initial Conditions:** Inside the container is 32.0 g of liquid methane at a temperature of −170°C.
- **Heat Addition:** An arrow, labeled "42.0 kJ," points towards the container, indicating the heat supplied to the system.
- **Additional Data Included:** 
  - The enthalpy of vaporization, ΔHvap, is given as 8.20 kJ/mol.
  - The initial state temperature, \( T = -170°C \).

This setup is used to determine how the provided heat energy affects the state (liquid or gas) and temperature of the methane once equilibrium is reached. The critical values needed to solve this problem (boiling point and specific heats) are also provided.
Transcribed Image Text:Transcription and Explanation: --- **11.4** If 42.0 kJ of heat is added to a 32.0-g sample of liquid methane under 1 atm of pressure at a temperature of −170°C, what are the final state and temperature of the methane once the system equilibrates? Assume no heat is lost to the surroundings. The normal boiling point of methane is −161.5°C. The specific heats of liquid and gaseous methane are 3.48 and 2.22 J/g-K, respectively [find more in **Section 11.4**]. --- **Diagram Explanation:** - **Apparatus Description:** The diagram shows a cylindrical container with a piston at the top, maintaining a constant pressure of 1.00 atm on the contained sample. - **Initial Conditions:** Inside the container is 32.0 g of liquid methane at a temperature of −170°C. - **Heat Addition:** An arrow, labeled "42.0 kJ," points towards the container, indicating the heat supplied to the system. - **Additional Data Included:** - The enthalpy of vaporization, ΔHvap, is given as 8.20 kJ/mol. - The initial state temperature, \( T = -170°C \). This setup is used to determine how the provided heat energy affects the state (liquid or gas) and temperature of the methane once equilibrium is reached. The critical values needed to solve this problem (boiling point and specific heats) are also provided.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY