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?

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:

\[
F = \left(\frac{9}{5} \times C\right) + 32
\]

### Step 1: Convert the melting point to Fahrenheit
The melting point is \(-48.36^\circ C\).

\[
F_{\text{melting}} = \left(\frac{9}{5} \times -48.36\right) + 32
\]

\[
F_{\text{melting}} = \left(-87.048\right) + 32 = -55.048^\circ F
\]

### Step 2: Convert the boiling point to Fahrenheit
The boiling point is \(306.17^\circ C\).

\[
F_{\text{boiling}} = \left(\frac{9}{5} \times 306.17\right) + 32
\]

\[
F_{\text{boiling}} = 551.106 + 32 = 583.106^\circ F
\]

### 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 \(-55.048^\circ F\) and \(583.106^\circ F\). Therefore, the substance is **not** in a liquid state at temperatures below \(-55.048^\circ F\) or above \(583.106^\circ F\).

### Answer:
The range of temperatures in degrees Fahrenheit for which the substance is not in a liquid state is:

\[
\text{Temperature } < -55.048^\circ F \quad \text{or} \quad \text{Temperature } > 583.106^\circ F
\]

Would you like more details or have any questions?

Here are five related questions to explore further:
1. How do we convert temperatures from Fahrenheit to Celsius?
2. What would be the temperature in Kelvin at the boiling point?
3. If the substance's boiling point changed to 400°C, what would the new temperature range in Fahrenheit be?
4. How does pressure affect the boiling point and melting point of a substance?
5. 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.

Learn how to convert Celsius temperatures to Fahrenheit and determine temperature ranges for physical states of matter. Solve a problem involving a substance with specific melting and boiling points in Celsius, converting them to Fahrenheit.

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