An automobile engine provides 639 Joules of work to push the pistons and generates 2194 Joules of heat that must be carried away by the cooling system. Calculate the change in the internal energy of the engine. E = Joules

The change in the internal energy of the system (engine) is -2,833 J.

The given parameters;

The change in the internal energy of the system (engine) is calculated by applying first law of thermodynamics;

ΔU = q + w

where;

ΔU = -(2194 J) + -(639 J)

ΔU = - 2194 J - 639 J

ΔU = -2833 J

Thus, the change in the internal energy of the system (engine) is -2,833 J.

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The change in the internal energy of the engine is - 2833 J

Explanation:

According to first law of thermodynamics:

= Change in internal energy

q = heat absorbed or released

w = work done or by the system

w = work done by the system= = -639 J   {Work is done by the system and is negative as the final volume is greater than initial volume }

q = -2194 J   {Heat released by the system is negative}

Thus the change in the internal energy of the engine is - 2833 J

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j

definition

                    entropy is a measure of the randomness or the extent of disorder of a chemical process.

                      enthalpy is a measure of the heat change of a reaction occurring at a constant pressure.

measurement units:

                        entropy is measured in joule per kelvin (jk⁻¹)   whereas enthalpy is measured in joule per mole (jmol⁻¹)

requirements:

                            entropy has no requirements or limits, and its change is measured by the division between the heat change of the chemical process and the temperature.

                              in contrast, enthalpy can only be related to the heat change of the reaction under standard conditions.