Answer:
The hottest temperature is [tex]T_2 = 39^o C[/tex]
Explanation:
From the question we are given
[tex]T_1 = 98 F[/tex]
[tex]T_2 = 39^oC[/tex]
[tex]T_3 = 303 \ K[/tex]
Generally converting [tex]T_3[/tex] to Fahrenheit
[tex]T_3' = (T_3 -273 ) * \frac{9}{5} + 32[/tex]
=> [tex]T_3' = (303 -273 ) * \frac{9}{5} + 32[/tex]
=> [tex]T_3' = 86 F[/tex]
Converting [tex]T_2[/tex] to Fahrenheit
[tex]T_2' = T_2 * \frac{9}{5} + 32[/tex]
=> [tex]T_2' = 39 * \frac{9}{5} + 32[/tex]
=> [tex]T_2' =102.2 F[/tex]
Now comparing the temperature in Fahrenheit we see that [tex]T_2[/tex] is the hottest
