JEE Mains · Physics · STD 11 - 11. thermodynamics
Consider two containers \(A\) and \(B\) containing monoatomic gases at the same Pressure \((P)\), Volume \((V)\) and Temperature \((T)\). The gas in \(A\) is compressed isothermally to \(\frac{1}{8}\) of its original volume while the gas \(B\) is compressed adiabatically to \(\frac{1}{8}\) of its original volume. The ratio of final pressure of gas in \(B\) to that of gas in \(A\) is ...........
- A \(8\)
- B \(8^{\frac{3}{2}}\)
- C \(\frac{1}{8}\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
Isothermal process, \(T =\) constant \(PV =n R T=\text { constant }\) \(P _1 V_1= P _2 V_2\) \(PV = P _{ A }( V / 8)\) \(P _{ A }=8 P\) Adiabatic process, PV \(\gamma=\) constant \(\gamma\) for monoatomic gas is \(\frac{5}{3}\). \(P _1 V _1^\gamma= P _2 V _2^\gamma\)…
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