4) In the left flask:
Pressure, P1= 425 torr
Volume, V1= 2.50 L
In the middle flask:
Pressure, P2= 677 torr
Volume, V2= 7.00 L
In the right flask:
Pressure, P3= 0 torr
Volume, V3= 3.00 L
So, from Boyle's Law we can say the total pressure-volume in the flasks before and after the valves are opened are constant in a fixed temperature.
So we can write, P1V1+P2V2+P3V3 = PV
Where P= total pressure after the valves are opened = x (let)
and V= total volume after the valves are opened = (2.5+7.0+3.0)L = 12.5L
or, (425torrX2.50L)+(677torrX7.0L)+(0torrX3.0L) = x torrX12.5L
or, x X12.5 L= (1062.5+4739+0) torr-L
or, x = 5801.5 torr-L/12.5 L
or, x = 464.12 torr
So the final pressure will be 464.12 torr.
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