MHT CET · Physics · Thermodynamics
A monoatomic ideal gas is compressed adiabatically to \(12.5 \%\) of its initial volume. if the initial temperature of the gas is ' \(\mathrm{T}_1{ }^{\prime} \mathrm{K}\) and the final temperature is ' \(\mathrm{xT}_1{ }^{\prime} \mathrm{K}\), the value of x is
- A 1
- B 2
- C 4
- D 8
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\( T_1 V_1^{\gamma-1} = T_2 V_2^{\gamma-1} \) for monoatomic gas \( \gamma = 5/3 \) \( T_1 V_1^{2/3} = (xT_1) (0.125 V_1)^{2/3} \)
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