Answer:
6.14 atm
Explanation:
Initial temperature (T₁) = 100 °C
Initial pressure (P₁) = 4 atm
Final temperature (T₂) = 300 °C
Final pressure (P₂) =?
NOTE: Volume = constant (since the system is a closed system)
Next, we shall convert celsius temperature to Kelvin temperature. This can be obtained as follow:
T(K) = T(°C) + 273
Initial temperature (T₁) = 100 °C
Initial temperature (T₁) = 100 °C + 273 = 373 K
Final temperature (T₂) = 300 °C
Final temperature (T₂) = 300 °C + 273 = 573 K
Finally, we shall determine the pressure at the highest temperature as follow:
Initial temperature (T₁) = 373 K
Initial pressure (P₁) = 4 atm
Final temperature (T₂) = 573 K
Final pressure (P₂) =?
P₁ / T₁ = P₂ / T₂
4 / 373 = P₂ / 573
Cross multiply
373 × P₂ = 4 × 573
373 × P₂ = 2292
Divide both side by 373
P₂ = 2292 / 373
P₂ = 6.14 atm
Thus, the pressure at the highest temperature is 6.14 atm
