Question

When a gas absorbs 22.210 kJ of heat and performs 57,748.5 J of work, what is its change in internal heat?

a) 35.461 kJ
b) -35.461 kJ
c) 0.350 kJ
d) -0.350 kJ

Answer 1

To find the change in internal heat of a gas, we use the First Law of Thermodynamics. The gas absorbs 22.210 kJ of heat and performs 57,748.5 J of work. The change in internal heat is -35.461 kJ.

Step-by-step explanation:

To find the change in internal heat of a gas, we can use the First Law of Thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. In this case, the gas absorbs 22.210 kJ of heat and performs 57,748.5 J of work.

To calculate the change in internal heat, we need to convert the units of heat and work to have the same unit. Since 1 J = 0.001 kJ, the work done is 57.7485 kJ. Therefore, the change in internal heat is 22.210 kJ - 57.7485 kJ = -35.5385 kJ.

Therefore, the correct answer is (b) -35.461 kJ.