A sample of gas occupies a volume of 67.4 mL 67.4 mL . As it expands, it does 126.8 J 126.8 J of work on its surroundings at a constant pressure of 783 Torr 783 Torr . What is the final volume of the gas?

Respuesta :

Answer:

The final volume of the gas is 1.29 L

Explanation:

To calculate the amount of work done for an isothermal process is given by the equation:

w = work done by the system =[tex]P\Delta V[/tex]

P = pressure = 783 torr = 1.03 atm     (1atm=760 torr)

w= 126.6 J = 1.2517Latm       (1Latm=101.3J)

[tex]V_1[/tex] = initial volume = 67.4 ml = 0.0674L   (1L=1000ml)

[tex]V_2[/tex] = final volume = ?

[tex]1.2517Latm=1.03atm\times (V_2-0.0674)L[/tex]

[tex](V_2-0.0674)=1.23V_2=1.29L[/tex]

Therefore, the final volume of the gas is 1.29 L