a piston compresses the air in the cylinder by doing 55.0 j of work on the air. as a result, the air gives off 181.0 j of heat to the surroundings. if the system is the air in the cylinder, what is the change in its internal energy?



Answer :

The change in its internal energy is -126J

The law of conservation of energy states that energy is neither created nor destroyed, and can only be converted from one form of energy to another. This means that the same amount of energy is always available in the system unless supplied externally. This is especially confusing in the case of non-conservative forces, where the energy is converted from mechanical energy to thermal energy, but the total energy remains the same. The only way to use energy is to convert it from one form to another.

The energy content of each system is determined by the formula:

UT=Ui+W+Q

.UT is the total internal energy of the system.

.Ui is the initial internal energy of the system.

.W is work done by or on the system.

.Q is the heat added to or removed from the system.

Solution:

The change in internal energy =q+w

here

w= work done on system so , take it as positive

q= loss of heat so, take it as negative

Internal change in energy system = q+w= 55-181= -126J

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