Question

Calculate the pressure at which the volume of oxygen becomes tripled. if it initial volume at 3.00 atm at 75cm³. if temperature is constant.
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Answer 1

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 :

$P\propto \dfrac{1}{V}\\\\or\\\\\dfrac{P_1}{P_2}=\dfrac{V_2}{V_1}$

Where

V₂ is the new volume

So,

$P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{3\times 75}{225}\\\\P_2=1\ atm$

So, the new pressure is equal to 1 atm.