State the First Law of Thermodynamics and definitions for an ideal gas.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here are the solutions to the questions:
1. (a) i. Starting with the first law of thermodynamic show that for polyatomic gases $\gamma = \frac{C_p}{C_v} = 1.33$
Step 1: State the First Law of Thermodynamics and definitions for an ideal gas.
The First Law of Thermodynamics states that the change in internal energy $\Delta U$ of a system is equal to the heat added to the system $Q$ minus the work done by the system $W$:
$$ \Delta U = Q - W $$
For an ideal gas, the internal energy depends only on temperature, and for a small change in temperature $dT$, the change in internal energy is given by:
$$ dU = n
