Answer:
3 : 1
Explanation:
The following data were obtained from the question:
Initial temperature (T₁) = T
Initial pressure (P₁) = P
Final temperature (T₂) = 3T
Final pressure (P₂) =..?
Since the volume is constant, we shall use the following formula P₁ /T₁ = P₂ /T₂ to obtain the final pressure. This is illustrated below:
P₁ /T₁ = P₂ /T₂
P/T = P₂ /3T
Cross multiply
T × P₂ = P × 3T
Divide both side by T
P₂ = P × 3T /T
P₂ = P × 3
P₂ = 3P
Therefore, the final pressure is tripled.
Finally, we shall determine the ratio of the final pressure to the initial pressure as follow:
Initial pressure (P₁) = P
Final pressure (P₂) = 3P
Final pressure (P₂) : Initial pressure (P₁)
P₂ : P₁ => 3P/P
P₂ : P₁ => 3 : 1
Therefore, the ratio of the final pressure to the initial pressure is 3 : 1
