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Work is done on an adiabatic system due to which its velocity changes from 10 m/s to 20 m/s, elevation increases by 20 m and temperature increases by 1 K. The mass of the system is 10 kg. cv = 100 J/(kgK) and gravitational acceleration is 10 m/s². If there is no change in any other component of the energy of the system, the magnitude of total work done (in kJ) on the system is ______.
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- 4.5 kJ.
- 5.5 kJ.
- 6.4 kJ.
- 6.5 kJ.
Correct Option: A
Using SFEE
| m |  |  | - |  | + (z1 - z2)g + (h1 - h2) |  | = W | ||
| 2 | 2 |
| 10 | | | - | | + (-20) × 10 + (100 × - 1) | | = W | ||
| 2 | 2 |
W = – 4.5 kJ
∴ Work done on the system is 4.5 kJ.
