A gas initial volume and pressure is 5m^3 and 101320 Pa and allows to expand up to 12m^3 then what is the final pressure?
Question
Question
A gas initial volume and pressure is 5m^3 and 101320 Pa and allows to expand up to 12m^3 then what is the final pressure?
Answer:
New pressure = 42216.66 Pa
Explanation:
Given that,
Initial volume, V₁ = 5 m³
Final pressure, P₁ = 101320 Pa
Final volume, V₂ = 12 m³
We need to find the final pressure of the gas. We know that the relation between pressure and volume is given by :
[tex]P\propto \dfrac{1}{V}\\\\P_1V_1=P_2V_2\\\\P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{101320 \times 5}{12}\\\\P_2=42216.67\ Pa[/tex]
So, the new pressure is equal to 42216.66 Pa.