Answer:
The initial volume of the container = 2.97 L
Explanation:
Given:
Initial pressure of gas, P1 = 15.6 psi
Final pressure of gas, P2 = 24.43 psi
Final volume, V2 = 1.895 L
To determine:
The initial volume V1 occupied by the gas
Explanation:
Based on the ideal gas equation
[tex]PV = nRT[/tex]
where P = pressure, V = volume ; n = moles of gas
R = gas constant, T = temperature
At constant n and T, the above equation becomes:
PV = constant
This is the Boyle's law
Therefore:
[tex]P1V1 = P2V2\\\\V1 = \frac{P2V2}{P1} = \frac{24.43 \ psi*1.895\ L}{15.6\ psi} =2.97\ L[/tex]