Calculate the work (kJ) done during a reaction in which the internal volume contracts from 85 L to 12 L against an outside pressure of 2.4 atm.

Respuesta :

Answer:

The work done on the system is 17.75_KJ

Explanation:

To solve this question we need to know the required equations from the given variables, thus

Initial volume = 85L

Final volume = 12L

External pressure = 2.4 atm.

work done = - PΔV

2.4×(85-12) = 175.2L×atm

Converting from L•atm to KJ is given by

1 L•atm = 0.1013 kJ

(175.2 L•atm) * (0.1013 kJ / 1 L•atm)

= 17.75 kJ

The work done on the system is 17.75_KJ

The work done on the system is -17.75 kJ.

Work done is obtained using the relation;

w = PΔV

where;

w = work done

V = change in volume

V1 =  85 L

V2 =  12 L

P =  2.4 atm

Hence;

w =  2.4 atm(12 - 85) L = -175.2 atm L

Now;

1 L atm = 101.325 J

-175.2 atm L = -175.2 atm L ×  101.325 J/1 L atm  = -17.75 kJ

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