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For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point?
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For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/...
Understanding the Problem
To calculate the ratio of slopes at the triple point for a pure substance, we need to analyze the given equations for the solid and liquid phases.
Given Equations
- Solid Phase: ln P(solid) = –20/T + 10
- Liquid Phase: ln P(liquid) = –15/T + 2
Identifying the Slopes
The slopes of the equations can be derived from the linear form:
- For the solid phase, the slope (m_solid) = -20
- For the liquid phase, the slope (m_liquid) = -15
Calculating the Ratio of Slopes
To find the ratio of the slopes at the triple point, we use the formula:
- Ratio of slopes = m_solid / m_liquid
Substituting the values:
- Ratio = -20 / -15 = 20/15 = 4/3
Conclusion
The ratio of slopes at the triple point for the given pure substance is:
- 4:3
This ratio indicates the relative change in pressure with respect to temperature for the solid and liquid phases at the triple point. Understanding this ratio is crucial in phase transition studies, as it helps predict how the substance will behave under varying conditions.
To calculate the ratio of slopes at the triple point for a pure substance, we need to analyze the given equations for the solid and liquid phases.
Given Equations
- Solid Phase: ln P(solid) = –20/T + 10
- Liquid Phase: ln P(liquid) = –15/T + 2
Identifying the Slopes
The slopes of the equations can be derived from the linear form:
- For the solid phase, the slope (m_solid) = -20
- For the liquid phase, the slope (m_liquid) = -15
Calculating the Ratio of Slopes
To find the ratio of the slopes at the triple point, we use the formula:
- Ratio of slopes = m_solid / m_liquid
Substituting the values:
- Ratio = -20 / -15 = 20/15 = 4/3
Conclusion
The ratio of slopes at the triple point for the given pure substance is:
- 4:3
This ratio indicates the relative change in pressure with respect to temperature for the solid and liquid phases at the triple point. Understanding this ratio is crucial in phase transition studies, as it helps predict how the substance will behave under varying conditions.
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For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point?
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For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point?.
For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a pure substance, ln P(solid) = –20/T 10 and ln P(liquid) = –15/T 2. Calculate ratio of slope at triple point?.
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