Answer:
The new pressure is equal to 1 atm.
Explanation:
Given that,
Initial pressure, P₁ = 3 atm
Initial volume, V₁ = 75cm³
Final volume, V₂ = 3V₁ = 225 cm³
We need to find the final pressure. The mathematical relation between P and V is :
[tex]P\propto \dfrac{1}{V}\\\\or\\\\\dfrac{P_1}{P_2}=\dfrac{V_2}{V_1}[/tex]
Where
V₂ is the new volume
So,
[tex]P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{3\times 75}{225}\\\\P_2=1\ atm[/tex]
So, the new pressure is equal to 1 atm.
