Three bulbs filled shown |GeneralOrganicChemistryJEEMain2023

JEE MAIN 2023

8-4-23_S1

Question

Three bulbs are filled with CH4, CO2 and Ne as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure of the system is found to be_______ atm. (Nearest integer)

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Solution

Sol. $\quad \mathrm{P}_{\mathrm{TV}}=\mathrm{ntR}^{\circ}$ For $\mathrm{CH}_4$ $$ \begin{aligned} & 2 \times 2=n_1 R T \\ & \Rightarrow n_1=\frac{4}{R T} \end{aligned} $$ For $\mathrm{CO}_2$ $$ \Rightarrow \mathrm{n}_2=\frac{12}{\mathrm{RT}} $$ For Ne $$ \begin{aligned} & \left.\Rightarrow n_3=\frac{12}{R T} \right\rvert\, \\ & \Rightarrow n_T=\frac{1}{R T}[4+12+12]=\frac{28}{R T} \\ & P_T=\frac{28}{R T} \frac{R T}{V_T} \\ & P_T=\frac{28}{V_T}=3.11 \end{aligned} $$

Question Tags

JEE Main

Chemistry

Medium

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