Question

Carry out the indicated temperature conversions. a. -153 " to kelvins b. -153 ' to kelvins c. 555 ' \(\mathrm{C}\) to Fahrenheit degrees d. -24 F to Celsius degrees

Short answer

a. Invalid temperature unit b. Invalid temperature unit c. \(555 °C = 1,031 °F\) d. \(-24°F \approx -31.11 °C\)

Step-by-step solution

a. Convert -153 " to Kelvins

There seems to be a mistake in the unit of temperature for this exercise, as the " symbol does not represent a unit of temperature. Please verify the correct temperature unit and provide it for this conversion.

b. Convert -153 ' to Kelvins

Similarly, there seems to be a mistake in the unit of temperature for this exercise, as the ' symbol does not represent a unit of temperature. Please verify the correct temperature unit and provide it for this conversion.

c. Convert 555 °C to Fahrenheit degrees

To convert a temperature from Celsius (°C) to Fahrenheit (°F), we can use the following formula: \(T(°F) = T(°C) * \frac{9}{5} + 32\) Given, the temperature in Celsius is 555 °C, substituting this value in the formula: \(T(°F) = 555 * \frac{9}{5} + 32\) Calculate the temperature in Fahrenheit: \( T(°F) = 1,031 °F \) So, the temperature in Fahrenheit is 1,031°F.

d. Convert -24°F to Celsius degrees

To convert a temperature from Fahrenheit (°F) to Celsius (°C), we can use the following formula: \(T(°C) = (T(°F) - 32) *\frac{5}{9}\) Given, the temperature in Fahrenheit is -24°F, substituting this value in the formula: \(T(°C) = (-24 - 32) *\frac{5}{9}\) Calculate the temperature in Celsius: \( T(°C) \approx -31.11 °C \) So, the temperature in Celsius is approximately -31.11°C.

Key concepts

Understanding the Kelvin Scale

The Kelvin scale is an absolute temperature scale, meaning it starts from absolute zero, the theoretically coldest possible temperature where particles come to a complete stop. This temperature scale is named after Lord Kelvin and is pivotal in the field of science because it allows for the elimination of negative numbers when dealing with thermodynamic calculations, making it a consistent unit for scientific work.

Zero kelvins (-273.15°C) is defined as absolute zero. To convert Celsius to Kelvin, you simply add 273.15 to the Celsius temperature;
\( T(K) = T(°C) + 273.15 \)
It's important to note that the Kelvin scale uses the symbol 'K' for its unit, and unlike Celsius or Fahrenheit, it does not use a degree symbol.

Celsius to Fahrenheit Conversion Explained

Converting Celsius to Fahrenheit may initially seem a bit complex, but with the correct formula, it becomes an easy task. Understanding the relationship between these two scales is important as they are widely used in daily life, depending on the country. The formula to convert temperature from Celsius to Fahrenheit is:
\( T(°F) = T(°C) \times \frac{9}{5} + 32 \)
The factor \( \frac{9}{5} \) reflects the ratio of each Celsius degree to Fahrenheit degree, while the 32 adjusts for the difference between the two scales' zero points. For example, the freezing point of water is 0°C, which translates to 32°F, demonstrating this shift in zero points.

Fahrenheit to Celsius Conversion Simplified

When you need to convert Fahrenheit to Celsius, the process involves a slight rearrangement of the previous formula. The formula for converting temperature from Fahrenheit to Celsius is:
\( T(°C) = (T(°F) - 32) \times \frac{5}{9} \)
The subtraction of 32 is used to adjust the Fahrenheit temperature back to its equivalent distance from freezing in Celsius. Then, the multiplication by \( \frac{5}{9} \) converts the interval into Celsius degrees. The fraction represents the difference in scale between Celsius and Fahrenheit. Temperatures like the boiling point of water, which is 212°F, when applied to this formula, comes out correctly as 100°C, the familiar boiling point in Celsius.