The pressure on 7.0 l of gas is increased from 15 psi to 1420 torr, at constanttemperature. what is the new volume of the gas?

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 =

         V₂ =

          V₂ = = 3.85L

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