Calculate the change in internal energy of the following system: A 100.0-g bar of gold is heated from 25 C to 50 C during which it absorbs 322 J of heat. Assume the volume of the gold bar remains constant.
To calculate the change in internal energy of the system, we need to use the equation:
ΔU = Q - W
Where:
ΔU is the change in internal energy
Q is the heat added to the system
W is the work done by the system or on the system (in this case, since the volume remains constant, no work is done)
In this case, we are given:
Q = 322 J (heat added to the system)
Since no work is done, we can simplify the equation to:
ΔU = Q
Now, we can substitute the given values:
ΔU = 322 J
Therefore, the change in internal energy of the system is 322 J.