The change in the internal energy of 1 mol of the gas at constant volume is 100J
Explanation
We know that, change in internal energy at constant volume is given by
[tex]dE_{int}[/tex] = n × Cv × dT
Here, n = no. of moles
Cv = molar heat capacity
dT = temperature difference
Applying the equation on the question, we get
[tex]dE_{int}[/tex] = 1 mol × 12.47 J/mol k × 8k
= 99.76 J ≈ 100J
Hence, the change in internal energy during the process is 100 J
The energy contained within a thermodynamic system is referred to as its internal energy. Internal energy is constant in an isolated system. It is the energy required to build or prepare the system in the internal state that it is in at the time.
The kinetic energy of individual particles within the system is included, but not the kinetic energy of motion of the system as a whole. It records the system's energy gains and losses that result from modifications to its internal state. It is impossible to directly quantify internal energy. It is determined by comparing the difference to a conventional state-defined reference zero.
Learn more about internal energy
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