Answer:
34.79 atm.
Explanation:
The following data were obtained from the question:
Initial pressure (P1) = 12 atm
Initial temperature (T1) = 25 °C
Final temperature (T2) = 591 °C
Final pressure (P2) =...?
Note: the volume of the tank is constant.
Next, we shall convert celsius temperature to Kelvin temperature. This can be obtained as follow:
Temperature (K) = Temperature (°C) + 273
T(K) = T (°C) + 273
Initial temperature (T1) = 25 °C
Initial temperature (T1) = 25 °C + 273 = 298 K.
Final temperature (T2) = 591 °C
Final temperature (T2) = 591 °C + 273 = 864 K.
Finally, we shall determine the new pressure as follow:
Initial pressure (P1) = 12 atm
Initial temperature (T1) = 298 K.
Final temperature (T2) = 864 K.
Final pressure (P2) =...?
P1/T1 = P2/T2
12/298 = P2/864
Cross multiply
298 x P2 = 12 x 864
Divide both side by 298
P2 = (12 x 864)/298
P2 = 34.79 atm.
Therefore, the new pressure is 34.79 atm.