The slope of the melting curve of methane (CH4) is given by dP dT (0.08446 bar/K1.85). T0.85 (yes, the exponents are all correct!) from the triple point to arbitrary temperatures. (a) Using the fact that the temperature and pressure of the triple point are 90.68 K and 0.1174 bars, calculate the melting pressure (in bars) of methane at 95 K. (Hint: You will need to integrate to obtain the correct pressure!) (b) For this same system, at what temperature would the melting point occur when the pressure is 24.8 bars?
The slope of the melting curve of methane (CH4) is given by dP dT (0.08446 bar/K1.85). T0.85 (yes, the exponents are all correct!) from the triple point to arbitrary temperatures. (a) Using the fact that the temperature and pressure of the triple point are 90.68 K and 0.1174 bars, calculate the melting pressure (in bars) of methane at 95 K. (Hint: You will need to integrate to obtain the correct pressure!) (b) For this same system, at what temperature would the melting point occur when the pressure is 24.8 bars?
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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![### Melting Curve of Methane (CH₄)
The slope of the melting curve of methane is expressed by the equation:
\[
\frac{dP}{dT} = (0.08446 \, \text{bar/K}^{1.85}) \cdot T^{0.85}
\]
(Note: The exponents in the formula are accurate.) This equation is applied from the triple point to different temperatures.
#### Problem Statement
(a) **Objective**: Calculate the melting pressure (in bars) of methane at 95 K. Use the given conditions that the temperature and pressure at the triple point are 90.68 K and 0.1174 bars, respectively.
- **Hint**: Integration is necessary to determine the correct pressure.
(b) **Objective**: For the same system, determine the temperature at which the melting point occurs when the pressure is 24.8 bars.
This information and problem set are designed to aid in the understanding of phase transitions and thermodynamics concerning methane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c924432-5356-4d2a-9799-f03f3a53c4ab%2F2f797544-38e4-4c47-9d7d-7cd75938b4eb%2F6wwdl9b_processed.png&w=3840&q=75)
Transcribed Image Text:### Melting Curve of Methane (CH₄)
The slope of the melting curve of methane is expressed by the equation:
\[
\frac{dP}{dT} = (0.08446 \, \text{bar/K}^{1.85}) \cdot T^{0.85}
\]
(Note: The exponents in the formula are accurate.) This equation is applied from the triple point to different temperatures.
#### Problem Statement
(a) **Objective**: Calculate the melting pressure (in bars) of methane at 95 K. Use the given conditions that the temperature and pressure at the triple point are 90.68 K and 0.1174 bars, respectively.
- **Hint**: Integration is necessary to determine the correct pressure.
(b) **Objective**: For the same system, determine the temperature at which the melting point occurs when the pressure is 24.8 bars.
This information and problem set are designed to aid in the understanding of phase transitions and thermodynamics concerning methane.
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