Answer:
Celsius scale; 315 K; [tex]107.6^{\circ}F[/tex]
Explanation:
The scale used to express the temperature in Chicago in this problem is the Celsius scale.
The Celsius degree is indicated with the symbol [tex]^{\circ}C[/tex]. The Celsius scale is based on two points:
- The freezing point of water, placed at [tex]0^{\circ}C[/tex]
- The boiling point of water, placed at [tex]100^{\circ}[/tex]
However, there are two more temperature scales that are widely used:
- The Kelvin scale: the Kelvin scale is based on the concept of absolute zero, which is the temperature at which particles in matter stop moving, and it is indicated with [tex]0 K[/tex] (zero Kelvin). The expression to convert a temperature from Celsius degree to Kelvin is
[tex]T(K)=T(^{\circ}C)+273[/tex]
In this case, the temperature in Chicago in Celsius scale is
[tex]T(^{\circ}C)=42^{\circ}C[/tex]
So the temperature in Kelvin is
[tex]T(K)=42+273=315 K[/tex]
- The Fahrenheit scale: the Fahrenheit degree is indicated with [tex]^{\circ}F[/tex]. The expression to convert a temperature from Celsius degree to Fahrenheit degree is
[tex]T(^{\circ}F)=\frac{9}{5}T(^{\circ}C)+32[/tex]
In this case, the temperature in Chicago in Celsius scale is
[tex]T(^{\circ}C)=42^{\circ}C[/tex]
So the temperature in Fahrenheit is
[tex]T(^{\circ}F)=\frac{9}{5}\cdot 42 + 32=107.6^{\circ}F[/tex]
