A vertical cylindrical cylinder, closed at the bottom end, is fitted at the top with a piston, which can move freely. The mass of the piston is 10.0 kg and the initial height of the piston above the bottom of the cylinder is 25 cm. A mass of 8 kg is placed on the piston. What is the resulting height of the piston, assuming that the temperature is kept constant?
A) 12 cm
B) 13 cm
C) 14 cm
D) 15 cm
E) 16 cm

Question

Quizplus · Accepted Answer

The pressure exerted by the piston and the additional mass must equal the initial pressure. Using Boyle's Law (P1V1 = P2V2) and considering the weight of the piston and additional mass, the resulting height is 14 cm.

A Vertical Cylindrical Cylinder, Closed at the Bottom End, Is