a sample of gas occupies a volume of 60.7 ml . as it expands, it does 138.1 j of work on its surroundings at a constant pressure of 783 torr . what is the final volume of the gas?

Respuesta :

relationship between work pressure and volume can be stated by this formula;

W=PΔV

as we know gas is expanding so it means the work is done by the system

which is shown by a negative sign

W= 138.1 j x 1 L atm / 101.3 j

   = -  1.36 L atm

let's convert torr into atm

P = 783 torr X ( 1 atm/ 760 torr)

    = 1.03 atm

W = -PΔV

- 1.36 L atm = - 1.03 atm x ΔV

ΔV = 1.36 L atm / 1.03 atm

     = 1.32 L  

ΔV = [tex]V_{2}[/tex] - [tex]V_{1}[/tex]

      = [tex]V_{2}[/tex] - 0.0607 L

[tex]V_{2}[/tex] = 1.32 L  +  0.0607 L

       = 1.38 L

the final volume of gas is 1.38 L

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