Question

Carry out the indicated temperature conversions. a. 175 " to kelvins b. \(255 \mathrm{~K}\) to Celsius degrees c. -45 to Celsius degrees d. 125 ' C to Fahrenheit degrees

Short answer

a. \(K = 316.483\) b. \(C = -18.15\) c. \(C = -42.78\) d. \(F = 257\)

Step-by-step solution

Convert Fahrenheit to Celsius

To convert a temperature from Fahrenheit to Celsius, use the following formula: \( C = \frac{5}{9}(F - 32) \), where C is the temperature in Celsius and F is the temperature in Fahrenheit. In this case, \(F = 175\). So, the temperature in Celsius is \( C = \frac{5}{9}(175 - 32) \).

Convert Celsius to Kelvin

To convert a temperature from Celsius to Kelvin, use the formula \(K = C + 273.15\), where K is the temperature in Kelvin and C is the temperature in Celsius. Plug the result from Step 1 into this formula to find the temperature in Kelvin. #b. 255 K to Celsius degrees#

Convert Kelvin to Celsius

To convert a temperature from Kelvin to Celsius, use the formula \( C = K - 273.15 \), where C is the temperature in Celsius and K is the temperature in Kelvin. In this case, \(K = 255\). Plug this value into the formula to find the temperature in Celsius. #c. -45°F to Celsius degrees#

Convert Fahrenheit to Celsius

To convert a temperature from Fahrenheit to Celsius, use the formula \( C = \frac{5}{9}(F - 32) \), where C is the temperature in Celsius and F is the temperature in Fahrenheit. In this case, \(F = -45\). Plug this value into the formula to find the temperature in Celsius. #d. 125°C to Fahrenheit degrees#

Convert Celsius to Fahrenheit

To convert a temperature from Celsius to Fahrenheit, use the formula \( F = \frac{9}{5}C + 32 \), where F is the temperature in Fahrenheit and C is the temperature in Celsius. In this case, \(C = 125\). Plug this value into the formula to find the temperature in Fahrenheit.

Key concepts

Fahrenheit to Celsius

Temperature conversions between Fahrenheit and Celsius are quite common, and it's essential to know the conversion formula to do it accurately. The formula to convert Fahrenheit to Celsius is: \[ C = \frac{5}{9}(F - 32) \]Where:

• \( C \) is the temperature in Celsius
• \( F \) is the temperature in Fahrenheit

To convert from Fahrenheit to Celsius, subtract 32 from the Fahrenheit value, then multiply the result by \( \frac{5}{9} \). This process is useful in many real-world applications, especially when dealing with weather reports or when traveling to countries using Celsius.

Celsius to Kelvin

Converting from Celsius to Kelvin is simpler because both are metric units of temperature, part of the International System of Units. The formula is straightforward:\[ K = C + 273.15 \]Here:

• \( K \) represents the temperature in Kelvin
• \( C \) stands for the temperature in Celsius

This formula emphasizes that there is a constant difference of 273.15 between the two units. Knowing the relationship helps in scientific calculations and laboratory settings, where Kelvin is preferred for theoretical and high precision work. Unlike Celsius and Fahrenheit, Kelvin does not use the term degrees, which distinguishes it as an absolute temperature scale.

Kelvin to Celsius

To convert from Kelvin to Celsius, we reverse the previous conversion. The equation is:\[ C = K - 273.15 \]Where:

• \( C \) is the Celsius temperature
• \( K \) is the temperature in Kelvin

By subtracting 273.15 from the Kelvin value, you can easily switch to Celsius. This conversion is necessary when reading scientific data, such as astronomical temperatures or physics experiments, presented in Kelvin. Understanding this conversion process is vital for practical applications in scientific analysis.

Celsius to Fahrenheit

To convert Celsius to Fahrenheit, the formula is a bit different from the Fahrenheit to Celsius conversion. Use:\[ F = \frac{9}{5}C + 32 \]In this equation:

• \( F \) is the Fahrenheit temperature
• \( C \) is the Celsius temperature

First, multiply the Celsius temperature by \( \frac{9}{5} \), then add 32 to that result. This conversion is particularly handy when adapting recipes or predicting daily weather forecasts for audiences accustomed to the Fahrenheit scale. Knowing this equation is essential for anyone interacting with both metric and imperial temperature systems.