JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
\(P-T\) diagram of an ideal gas having three different densities \(\rho_1, \rho_2, \rho_3\) (in three different cases) is shown in the figure. Which of the following is correct?
- A \(\rho_2<\rho_3\)
- B \(\rho_1>\rho_2\)
- C \(\rho_1<\rho_2\)
- D \(\rho_1=\rho_2=\rho_3\)
Answer & Solution
Correct Answer
(B) \(\rho_1>\rho_2\)
Step-by-step Solution
Detailed explanation
For ideal gas \(P V=n R T\) \(P V=\frac{m}{M} R T\) \(P=\left(\frac{M}{V}\right) \frac{R T}{M}\) \(P=\frac{\rho R T}{M}\) (Where \(\mathrm{m}\) is mass of gas and \(\mathrm{M}\) is molecular mass of gas) for same temperature \(\mathrm{P}_1>\mathrm{P}_2>\mathrm{P}_3\) So…
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