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expeople1 [14]
2 years ago
10

A sample of gas occupies a volume of 72.0 mL . As it expands, it does 141.2 J of work on its surroundings at a constant pressure

of 783 Torr . What is the final volume of the gas?
Chemistry
1 answer:
bagirrra123 [75]2 years ago
3 0

The final volume of the gas is  73.359 mL

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Given :

A sample gas has an initial volume of 72.0 mL

The work done = 141.2 J

Pressure = 783 torr

The objective is to determine the final volume of the gas.

Since, the process does 141.2 J of work on its surroundings at a constant pressure of 783 Torr. Then, the pressure is external.

Converting the external pressure to atm; we have

External Pressure Pext:

P ext = 783 torr × \frac{1 atm}{760 torr}

Pext = 1.03 atm

The work done W =  Pext V

The change in volume ΔV= \frac{W}{Pext}

ΔV = \frac{141.2 J \frac{1 L atm}{101.325 J} }{1.03 atm}

ΔV = \frac{0.0014}{1.03}

ΔV = 0.001359 L

ΔV = 1.359 mL

The initial  volume = 72.0 mL

The change in volume V is ΔV = V₂ - V₁

-  V₂ = - ΔV - V₁

multiply both sides by (-), we have:

V₂ = ΔV + V₁

     =  1.359 mL + 72.0 mL

     = 73.359 mL

Therefore, the final volume of the gas is  73.359 mL .

Learn more about volume here:

brainly.com/question/27100414

#SPJ4

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