JEE MAIN - Physics (2024 - 4th April Morning Shift - No. 14)

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 :

JEE Main 2024 (Online) 4th April Morning Shift Physics - Heat and Thermodynamics Question 42 English

$$\rho_1>\rho_2$$
$$\rho_2<\rho_3$$
$$\rho_1=\rho_2=\rho_3$$
$$\rho_1<\rho_2$$

Explanation

$$\begin{aligned} & P M=\rho R T \\ & \Rightarrow \frac{P}{T}=\left(\frac{R}{m}\right) \rho=\text { slope } \end{aligned}$$

So from given curve, $$\rho_1>\rho_2>\rho_3$$

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