TS EAMCET · Physics · Thermodynamics
Which of the following is true in the case of an adiabatic process, where \(\gamma=C_p / C_V\) ?
- A \(p^{1-\gamma} T^\gamma=\) constant
- B \(p^\gamma T^{1-\gamma}=\) constant
- C \(p T^\gamma=\) constant
- D \(p^\gamma T=\) constant
Answer & Solution
Correct Answer
(A) \(p^{1-\gamma} T^\gamma=\) constant
Step-by-step Solution
Detailed explanation
For adiabatic change equation of state is \[ p V^\gamma=\text { constant } \] It can also be re-written as \[ T V^{\gamma-1}=\text { constant }\left[\text { as } p=\frac{n R T}{V}\right] \] and \(\quad p^{1-\gamma} T^\gamma=\) constant \(\left[\right.\) as…
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