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QJEEM23Che2f8: JEE Main 2023 Chemistry - Class 11 JEEM23Che2f8 Solution: Three bulbs are filled with and as shown in the picture. The…

JEE Main 2023 (Online) 8th April Morning Shift Chemistry - Gaseous State Question 1 English

Three bulbs are filled with CH4,CO2\mathrm{CH}_{4}, \mathrm{CO}_{2} and Ne\mathrm{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)

Step-by-Step Verified Solution

Dalton's law of partial pressure states that whenever two or more gases, which do not react chemically, are enclosed in vessel, the total pressure is equal to sum of partial pressure of each gas.

From Dalton's partial pressure law,

amp;PfVf=P1V1+P2V2+P3V3amp;Pf×9=2×2+4×3+3×4amp;Pf=289=3.11=3\begin{aligned}& P_f V_f=P_1 V_1+P_2 V_2+P_3 V_3 \\\\& P_f \times 9=2 \times 2+4 \times 3+3 \times 4 \\\\& P_f=\frac{28}{9}=3.11=3\end{aligned}

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