Given: P1=2atm,V1=2L for CH4, P2=4atm,V2=3L for CO2, and P3=3atm,V3=4L for Ne. Temperature remains constant and the connecting pipes have zero volume.
Find: The final pressure of the system.
Using Dalton's law:
PfVf=P1V1+P2V2+P3V3Total volume:
Vf=V1+V2+V3=2+3+4=9LTotal pressure contribution:
PfVf=(2×2)+(4×3)+(3×4)=4+12+12=28atm.LFinal pressure:
Pf=928≈3.11atm
Thus, Pf≈3 atm.