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When 20 J of work was done on gas. 40 J of heat energy was released If the initial energy of the gas was 70 J what is the final internal energy’?
  • a)
    50 J
  • b)
    -150 J
  • c)
    90 J
  • d)
     110 J
Correct answer is option 'A'. Can you explain this answer?
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To find the final internal energy of the gas, we need to consider the conservation of energy.

The initial energy of the gas is given as 70 J.

The work done on the gas is given as 20 J, which means that the gas gained 20 J of energy.

The heat energy released by the gas is given as 40 J, which means that the gas lost 40 J of energy.

Therefore, the change in internal energy of the gas is equal to the sum of the work done on the gas and the heat energy released by the gas:

Change in internal energy = Work done on the gas + Heat energy released by the gas
Change in internal energy = 20 J + (-40 J)
Change in internal energy = -20 J

The negative sign indicates that the internal energy of the gas decreased.

To find the final internal energy, we need to subtract the change in internal energy from the initial energy:

Final internal energy = Initial energy - Change in internal energy
Final internal energy = 70 J - (-20 J)
Final internal energy = 70 J + 20 J
Final internal energy = 90 J

Therefore, the final internal energy of the gas is 90 J.
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