Question

Numericals based on Boyle's law:
Please explain in detail.

Answer 1

Boyle's law :  
    For an ideal gas, 
           P * V = K = constant , at a constant Temperature

Initial Pressure = P1 = 1080 mm Hg
Initial Volume = V1 units
    Decrease in volume = 40% of V1.

Final Volume = V2 = V1 - 40/100 * V1 = 0.60 V1
Final Pressure = P2 

Applying Boyle's Law:
        P2 V2 = P1 V1 

=>         P2 = P1 V1 / V2
                  = 1, 080 * V1 / (0.60 V1)
                  = 1, 800 mm of Hg

Answer 1,800 mm of Mercury column.

Answer 2

HI,

 

we know

P 1V1=P2V2

 

we know that volume has decreased by 40%, thus the volume left was 60% of initial volume

 

1080 × x=P2 × 0.6x

 

P2=1800mm of Hg