Respuesta :

The change in the internal energy:-870 J

Further explanation

The laws of thermodynamics 1 state that: energy can be changed but cannot be destroyed or created

The equation is:

 [tex]\rm \Delta U=Q+W[/tex]

Energy owned by the system is expressed as internal energy (U)

This internal energy can change if it absorbs heat Q (U> 0), or releases heat (U <0). Or the internal energy can change if the system does work or accepts work (W)

The sign rules for heat and work are set as follows:

• The system receives heat, Q +

• The system releases heat, Q -

• The system does work, W -

• the system accepts work, W +

Heat can be calculated using the formula:

Q = mc∆T

A 225 Delivers System J Of Heat To The Surroundings While Delivering 645 J Of Work, then

Q release heat = -225 J

The system does work, W = -645 J

the change in the internal energy, ∆E, of the system

∆E / ∆U = Q + W

∆E / ∆U = -225 - 645

∆E / ∆U = -870 J

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The change in the internal energy of the system is -870 J.

The given parameters;

  • heat added to the system, Q = 225 J
  • work done on the surroundings, W = 645 J

The change in the internal energy of the system is calculated by applying the first law of thermodynamic as shown below;

ΔU = Q - W

where;

  • ΔU is the change in the internal energy of the system
  • Q is the heat added
  • W is the work done on the surrounding

Substitute the given parameters and solve for change in internal energy;

ΔU = (-225) - 645 J  

ΔU = -870 J

Thus, the change in the internal energy of the system is -870 J.

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