The properties of a closed system change following the relation between pressure and
volume as pv = 3.0 where p is in bar V is in m^3. Calculate the work done when the pressure
increases from 1.5 bar to 7.5 bar.
can anyone solve this...
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Explanation:
Given The properties of a closed system change following the relation between pressure and volume as pv = 3.0 where p is in bar V is in m^3. Calculate the work done when the pressure increases from 1.5 bar to 7.5 bar
- Given P = 1.5 bar to 7.5 bar = 1,50,000 Pascal to 7,50,000 Pascal
- So we have P x V = constant
- Now P x V = 3
- Or P = 3/V
- Now when P = 1,50,000 pa
- P = 3/V
- 1,50,000 = 3/V
- V = 3/1,50,000
- V = 2 x 10^-5 m^3
- Now when P = 7,50,000 pa
- P = 3/V
- 7,50,000 = 3/V
- V = 3/7,50,000
- V = 0.4 x 10^-5 m^3
- So work done is given by
- W = ∫V1 to V2 P dV
- = ∫(2 to 0.5)10^-5 3/V dV
- = 3 log (0.4 / 2)
- = - 3 x 0.69
- = - 2.07 J
- Negative sign shows work done on the system
Reference link will be
https://brainly.in/question/2174883
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