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A sample of gas occupies a volume of 64.0 mL . As it expands, it does 137.1 J of work on its surroundings at a constant pressure of 783 Torr . What is the final volume of the gas

Respuesta :

Answer : The final volume of the gas is, 34.8 L

Explanation :

Formula used :

[tex]w=p\times (V_2-V_1)[/tex]

where,

w = work done = 137.1 J = 35.8 L.atm      (1 L.atm = 101.3 J)

p = external pressure = 783 torr = 1.03 atm    (1 atm = 760 torr)

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

[tex]V_1[/tex] = initial volume = 64.0 mL = 0.0640 L      (1 L = 1000 mL)

Now put all the given values in the above formula, we get:

[tex]35.8L.atm=1.03atm\times (V_2-0.0640L)[/tex]

[tex]V_2=34.8L[/tex]

Thus, the final volume of the gas is, 34.8 L

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