JEE Mains · Physics · STD 11 - 11. thermodynamics
The volume of an ideal gas increases 8 times and temperature becomes (1/4) of initial temperature during a reversible change. If there is no exchange of heat in this process (\( \Delta Q=0 \)) then identify the gas from the following options:
- A \( CO_{2} \)
- B \( O_{2} \)
- C \( NH_{3} \)
- D He
Answer & Solution
Correct Answer
(D) He
Step-by-step Solution
Detailed explanation
\( PV^{\gamma}=constant \) \( TV^{\gamma-1}=(\frac{T}{4})(8V)^{(\gamma-1)} \) \( 4=8^{(\gamma-1)} \) \( 2^{2}=2^{3\gamma-3} \) \( 2=3(\gamma-1) \) \( \gamma=\frac{5}{3} \) Gas is a monoatomic gas. Answer is He.
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