### Theory:

Temperature Conversion:
Temperatures between scales can be converted using the following equations.

Conversion of Celsius ($$ºC$$) to Fahrenheit ($$ºF$$):

The temperature ($$T$$) in degree Fahrenheit ($$ºF$$) is equal to the temperature ($$T$$) in degree Celsius ($$ºC$$) multiplied by $$9/5$$, with $$32$$ added to the product.

or

For example: Convert $$30$$ $$°C$$ into $$°F$$

$$F = C × 9/5 + 32 F$$

$$= (30 × 9/5) +32 F$$

$$= (270/5) +32F$$

$$= 54 + 32F$$

$$= 86 °F$$

Conversion of Celsius $$ºC$$ to Kelvin $$K$$:

We convert Celsius to Kelvin by adding ($$273$$) to the Celsius of temperature.

$K\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}273.15\phantom{\rule{0.147em}{0ex}}+\phantom{\rule{0.147em}{0ex}}\mathit{ºC}$

For example: Convert $$100 °C$$ into Kelvin

$$K = °C + 273K$$

$$= 100 + 273 K$$

$$=373K$$

Conversion of Fahrenheit  $$ºF$$ to Celsius $$ºC$$:

The formula to convert temperature $$T$$ in degrees Fahrenheit ($$ºF$$) to the temperature ($$T$$) in Celsius is,

$\text{°}C\phantom{\rule{0.147em}{0ex}}=\left(\text{°}F\phantom{\rule{0.147em}{0ex}}-\phantom{\rule{0.147em}{0ex}}32\right)\phantom{\rule{0.147em}{0ex}}×\phantom{\rule{0.147em}{0ex}}\frac{5}{9}$

Conversion of Fahrenheit  $$ºF$$ to Kelvin $$K$$:

The formula to convert temperature $$T$$ in degrees Fahrenheit ($$ºF$$) to the temperature ($$T$$) in Kelvin is,

$K\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}\left(\left(\text{°}F\phantom{\rule{0.147em}{0ex}}-\phantom{\rule{0.147em}{0ex}}32\right)\phantom{\rule{0.147em}{0ex}}×\phantom{\rule{0.147em}{0ex}}\frac{5}{9}\right)\phantom{\rule{0.147em}{0ex}}+\phantom{\rule{0.147em}{0ex}}273.15$

Conversion of  Kelvin $$K$$ to Celsius $$ºC$$:

We convert Kelvin to Celsius by subtracting (273) from the temperature in Kelvin.

$\mathit{ºC}\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}K\phantom{\rule{0.147em}{0ex}}-\phantom{\rule{0.147em}{0ex}}273.15$

Conversion of  Kelvin $$K$$ to Fahrenheit $$ºF$$:

The formula to convert temperature $$T$$ in Kelvin to the temperature ($$T$$) in degrees Fahrenheit ($$ºF$$) is,

$\text{°}F\phantom{\rule{0.147em}{0ex}}\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}\left(\left(K\phantom{\rule{0.147em}{0ex}}-\phantom{\rule{0.147em}{0ex}}273.15\right)\phantom{\rule{0.147em}{0ex}}×\phantom{\rule{0.147em}{0ex}}\frac{9}{5}\right)\phantom{\rule{0.147em}{0ex}}+\phantom{\rule{0.147em}{0ex}}32$

The relationships between the three common temperature scales are shown in the below figure.

Temperature scales

Temperature conversion