A sample of octane burns releasing 2290 J of heat to the surroundings, and the gases produced expands against a piston to do 560 joules of work. Calculate the internal energy change for this reaction.
1- –2850 J
2- –1730 J
3- –2290 J
4- +1730 J
5- +2850 J

Respuesta :

Answer: The internal energy change for the reaction is -2850 J

Explanation:

  • Sign convention of heat:

When heat is absorbed, the sign of heat is taken to be positive and when heat is released, the sign of heat is taken to be negative.

  • Sign convention of work:

Work done for expansion process is taken as negative and work done for compression is taken as positive.

According to the First law of thermodynamics,

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

where,

[tex]\Delta U[/tex] = internal energy

q = heat absorbed or released  = -2290 J

w = work done = -560 J

Putting values in above equation, we get:

[tex]\Delta U=(-2290)+(-560)\\\\\Delta U=-2850J[/tex]

Hence, the internal energy change for the reaction is -2850 J

The internal energy change for this reaction is 1- –2850 J

Given that,

  • A sample of octane burns releasing 2290 J of heat to the surroundings, and the gases produced expands against a piston to do 560 joules of work.

The calculation is as follows:

=-2290 - 560

= -2850J

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