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
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
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![Transcription and Explanation:
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**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**].
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**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0148676-cf4d-4792-827b-3b63f1683c82%2F9d82aee4-b272-4e59-8ade-ebdd5b797ccb%2Fiac592j_processed.png&w=3840&q=75)
Transcribed Image Text:Transcription and Explanation:
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**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.
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