24. A total of 165 J of work is done on a gaseous refrigerant as it undergoes compression. If the internal energy of the gas increases by 123 J during the process, what is the total amount of energy transferred as heat

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The total amount of energy transferred as heat is equal to 288 Joules.

Given the following data:

  • Internal energy = 123 Joules
  • Work done = 165 Joules

To calculate the total amount of energy transferred as heat, we would apply the first law of thermodynamics.​

The first law of thermodynamics.

Mathematically, the first law of thermodynamics is given by the formula:

[tex]\Delta E = Q - W[/tex]

Where;

  • [tex]\Delta E[/tex] is the change in internal energy.
  • Q is the quantity of heat transferred.
  • W is the work done.

Substituting the given parameters into the formula, we have;

[tex]123 = Q - 165\\\\Q=123+165[/tex]

Q = 288 Joules.

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