At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Convert that temperature to degrees Fahrenheit.
Express your answer in degrees Fahrenheit as an integer.

The freezing point of water is depressed when mixed with ethylene glycol. Ethylene glycol is used as a de-icing fluid for windshields and aircraft and as an antifreeze in automobile engines. A mixture of [tex]$60\%[tex]$[/tex] ethylene glycol and [tex]$[/tex]40\%[tex]$[/tex] water freezes at [tex]$[/tex]-45^{\circ}C$[/tex].


Sagot :

To convert the freezing point of a mixture of 60% ethylene glycol and 40% water from Celsius to Fahrenheit, we follow the formula for converting temperatures between these scales. The formula we will use is:

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

Where:
- \( F \) is the temperature in Fahrenheit,
- \( C \) is the temperature in Celsius.

Given:
[tex]\[ C = -45^{\circ}C \][/tex]

Step-by-Step Solution:

1. Substitute the given Celsius temperature into the formula:

[tex]\[ F = \left( \frac{9}{5} \times (-45) \right) + 32 \][/tex]

2. Multiply -45 by \( \frac{9}{5} \):

[tex]\[ \frac{9}{5} \times (-45) = -81 \][/tex]

3. Add 32 to the result:

[tex]\[ F = -81 + 32 \][/tex]

4. Calculate the final result:

[tex]\[ F = -49 \][/tex]

Thus, the temperature in degrees Fahrenheit is [tex]\( -49^{\circ}F \)[/tex].