Math Problem Statement
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of
negative 48.36 degrees Upper C−48.36°C
and a boiling point of
306.17 degrees Upper C306.17°C.
What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state?
Solution
To determine the range of temperatures in degrees Fahrenheit for which the substance is not in a liquid state, we first need to convert the melting point and boiling point from degrees Celsius to degrees Fahrenheit.
The formula for converting Celsius to Fahrenheit is:
Step 1: Convert the melting point to Fahrenheit
The melting point is .
Step 2: Convert the boiling point to Fahrenheit
The boiling point is .
Step 3: Determine the range of temperatures for which the substance is not in a liquid state
The substance is in a liquid state between and . Therefore, the substance is not in a liquid state at temperatures below or above .
Answer:
The range of temperatures in degrees Fahrenheit for which the substance is not in a liquid state is:
Would you like more details or have any questions?
Here are five related questions to explore further:
- How do we convert temperatures from Fahrenheit to Celsius?
- What would be the temperature in Kelvin at the boiling point?
- If the substance's boiling point changed to 400°C, what would the new temperature range in Fahrenheit be?
- How does pressure affect the boiling point and melting point of a substance?
- What happens to the physical state of a substance at temperatures between its melting point and boiling point?
Tip: Understanding temperature conversions is crucial when working with scientific data, especially when dealing with different measurement systems.
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Math Problem Analysis
Mathematical Concepts
Temperature conversions
Scientific measurement systems
Formulas
Celsius to Fahrenheit conversion: F = (9/5 * C) + 32
Theorems
-
Suitable Grade Level
Advanced High School
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