Answer : The correct option is,
![-89.2^oF\text{ and }183.9K](https://img.qammunity.org/2020/formulas/chemistry/college/nsignhj9hq3p5sklq6567lmfrxxq4iw8h6.png)
Explanation :
The conversion used for the temperature from Fahrenheit to degree Celsius is:
![^oC=(^oF-32)* (5)/(9)](https://img.qammunity.org/2020/formulas/chemistry/college/l4j0zphx2u8ce2ast8b498lkozf5ozyj2h.png)
where,
= temperature in Fahrenheit
= temperature in centigrade
The conversion used for the temperature from degree Celsius to Kelvin is:
![K=273.15+^oC](https://img.qammunity.org/2020/formulas/chemistry/college/p1xxizngelw5v3vxdavopovp9pnn6xheyk.png)
where,
= temperature in Kelvin
= temperature in centigrade
As we are given the temperature in Fahrenheit is, -10
Now we have to determine the temperature in degree Celsius.
![^oC=(^oF-32)* (5)/(9)](https://img.qammunity.org/2020/formulas/chemistry/college/l4j0zphx2u8ce2ast8b498lkozf5ozyj2h.png)
![^oC=(-128.6^oF-32)* (5)/(9)](https://img.qammunity.org/2020/formulas/chemistry/college/n3uo5qwjvekqryccveuyn47gxwtdso6sjk.png)
![^oC=-89.2](https://img.qammunity.org/2020/formulas/chemistry/college/wmkyhihroixjc561b1001j57337wua43el.png)
Now we have to determine the temperature in Kelvin.
![K=273.15+^oC](https://img.qammunity.org/2020/formulas/chemistry/college/p1xxizngelw5v3vxdavopovp9pnn6xheyk.png)
![K=273.15+(-89.2^oC)](https://img.qammunity.org/2020/formulas/chemistry/college/hujyq190u4qbqlh7l8vv1yzx0thdd8grgm.png)
![K=183.9](https://img.qammunity.org/2020/formulas/chemistry/college/qk8w6sz8dgnnqvvz17wwp132z02gu4778q.png)
Therefore, the temperature in degree Celsius and Kelvin are,
![-89.2^oF\text{ and }183.9K](https://img.qammunity.org/2020/formulas/chemistry/college/nsignhj9hq3p5sklq6567lmfrxxq4iw8h6.png)