The air in an inflated balloon (defined as the system) is warmed over a toaster and absorbs 130 J of heat. As it expands, it does 78 kJ of work.What is the change in internal energy for the system?

Respuesta :

Answer:

-77870 J is the change in internal energy for the system.

Explanation:

According to the first law of thermodynamics:-

[tex]\Delta U = q + w[/tex]

Where,  

U is the internal energy

q is the heat

w is the work done

From the question,

q = + 130 J  (+ sign as the heat is being absorbed)

[tex]w=-78\ kJ=-78000\ J[/tex] (negative sign as work is done by the system)

So,

[tex]\Delta U = +130\ J-78000\ J = -77870\ J[/tex]

-77870 J is the change in internal energy for the system.

The internal energy change of the system is -77.87 kJ.

From the first law of  thermodynamics, energy can neither be created nor destroyed but is converted from one form to another.

Given that;

ΔE = q + w

E = internal energy

q = heat gained/lost

w = work done by or on the system

Since the system was heated, it absorbed heat hence q is positive. The gas expanded so it did work and w is negative.

Hence;

ΔE =  130 J - 78 × 10^3 J

ΔE = -77.87 kJ

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