A cylindrical flask is fitted with an airtight piston that is free to slide up a

Question

A cylindrical flask is fitted with an airtight piston that is free to slide up and down, as shown in the figure (Figure 1) . A mass rests on top of the piston. Contained within the flask is an ideal gas at a constant temperature of 313K. Initially the pressure applied by the piston and the mass is 110 kPa and the height of the piston above the base of the flask is 23.4 cm. When additional mass is added to the piston, the height of the piston decreases to 15.0 cm .

What is the new pressure applied to the piston

Explanation / Answer

Let A is the cross sectional area of the piston.

here temperature is constant.

so, we can use Boil's law

P1*V1 = P2*V2

P2 = P1*(V1/V2)

= P1*(A*L1/(A*L2))

= P1*(L1/L2)

= 110*10^3*(23.5/15)

= 172.3 kPa or 1.723*10^5 pa <<<<<<-----Answer

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