Answer:
213.4°C.
Explanation:
Data obtained from the question:
Initial pressure (P1) = 5.1atm
Initial temperature (T1) = 45°C = 45°C + 273 = 318K
Final pressure (P2) = 7.8atm
Final temperature (T2) =..?
The new temperature can be obtained as follow:
P1/T1 = P2 /T2
5.1/318 = 7.8/T2
Cross multiply
5.1 x T2 = 318 x 7. 8
Divide both side by 5.1
T2 = 318 x 7. 8 /5.1
T2 = 486.4K
Finally, we shall convert 486.4K to celsius temperature. This can be done as follow:
T(°C) = T(K) – 273
T(K) = 486.4K
T(°C) = 486.4 – 273
T(°C) = 213.4°C.
Therefore, the new temperature is 213.4°C