Answer : The difference between the temperature is,
![81^oF](https://img.qammunity.org/2020/formulas/chemistry/college/gu8brotcgkr1y8i8xk7voq1vp423u6b6is.png)
Explanation :
The conversion used for the temperature from degree centigrade to Fahrenheit is:
![^oF=(^oC* (9)/(5))+32](https://img.qammunity.org/2020/formulas/chemistry/college/uum80wu91e4p8q2clb0uu2ro9652utfvde.png)
where,
= temperature in Fahrenheit
= temperature in centigrade
First we have to convert the temperature from degree centigrade into Fahrenheit.
Conversion of
into
![^oF](https://img.qammunity.org/2020/formulas/chemistry/college/7e2ws3gis4xzasvhtufstvexo3fvwpk8o5.png)
![^oF=(45^oC* (9)/(5))+32](https://img.qammunity.org/2020/formulas/chemistry/college/k8gy242qoujpu7i2rt75n6c2yfduk5gbp8.png)
![^oF=113](https://img.qammunity.org/2020/formulas/chemistry/college/2rsqryee5ko3k89rnain94c5h43e96f06w.png)
Conversion of
into
![^oF](https://img.qammunity.org/2020/formulas/chemistry/college/7e2ws3gis4xzasvhtufstvexo3fvwpk8o5.png)
![^oF=(90^oC* (9)/(5))+32](https://img.qammunity.org/2020/formulas/chemistry/college/wrwbxwptn7x0e42mdjjio4h7f0of70lhrj.png)
![^oF=194](https://img.qammunity.org/2020/formulas/chemistry/college/dhlvxlgyjul1pntayal28rk3mzzqzbmmab.png)
Now we have to determine the difference between the temperature.
![\text{Difference between the temperature}=194^oF-113^oF=81^oF](https://img.qammunity.org/2020/formulas/chemistry/college/qqw3vtk18u1hh5128p7uhfurh6lxjgm4ly.png)
Therefore, the difference between the temperature is,
![81^oF](https://img.qammunity.org/2020/formulas/chemistry/college/gu8brotcgkr1y8i8xk7voq1vp423u6b6is.png)