Answer:
3.85L
Explanation:
Given parameters:
Initial pressure P₁ = 15psi (1psi = 52mmHg)
converting to mmHg gives (15x52)mmHg = 780mmHg
Initial volume V₁ = 7.0L
Final pressure P₂ = 1420torr= 1420mmHg
Unknown:
Final volume V₂ = ?
Condition of the process: Constant temperature
Solution
To solve this problem, we simply apply Boyle's law. Boyle's law states that "The volume of a given mass of gas varies inversely as the pressure changes, if the temperature is constant".
It is mathematically expressed as ;
P₁V₁ = P₂V₂
The unknown here is V₂ and we simply express it as the subject of the formula:
V₂ = [tex]\frac{P_{1} V_{1} }{P_{2} }[/tex]
V₂ = [tex]\frac{780 x 7 }{1420}[/tex]
V₂ = [tex]\frac{5460}{1420}[/tex] = 3.85L
