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A system initially has an internal energy E of 501 J. It undergoes a process during which it releases 111 J of heat energy to the surroundings, and does work of 222 J. What is the final energy of the system, in J?

Answer :

Answer:

The final energy of the system is 168 J

Explanation:

[tex]\triangle Q = \triangle U + W[/tex]

Heat energy released to the surroundings, [tex]\triangle Q = -111 J[/tex]

Work done, W = 222 J

[tex]-111 = \triangle U + 222\\ \triangle U = -111 - 222\\\triangle U = - 333 J[/tex]

The initial internal energy, [tex]E_{1} = 501 J[/tex]

The change in internal energy is given by the formula, [tex]\triangle U = E_{2} - E_{1}[/tex]

[tex]E_{2} = \triangle U + E_{1}\\E_{2} = -333 + 501\\E_{2} = 168 J[/tex]

The final energy of the system is 168 J

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