Question

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 1

Answer:

The final energy of the system is 168 J

Explanation:

$\triangle Q = \triangle U + W$

Heat energy released to the surroundings, $\triangle Q = -111 J$

Work done, W = 222 J

$-111 = \triangle U + 222\\ \triangle U = -111 - 222\\\triangle U = - 333 J$

The initial internal energy, $E_{1} = 501 J$

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

$E_{2} = \triangle U + E_{1}\\E_{2} = -333 + 501\\E_{2} = 168 J$

The final energy of the system is 168 J