Question 159: Thermodynamics & KTG

Question

A fixed thermally conducting cylinder has a radius $R$ and height $L_0$. The cylinder is open at its bottom and has a small hole at its top. A piston of mass $M$ is held at a distance $L$ from the top surface, as shown in the figure. The atmospheric pressure is $P_0$.

Accepted Answer

When the piston is pulled out slowly, the pressure drop produced inside the cylinder is almost instantaneously neutralized by the air entering from outside into the cylinder. So, the pressure inside the cylinder is P$$_0$$ throughout the slow pulling process.

Answer

P$$_0$$

Answer

$${{{P_0}} \over 2}$$

Answer

$${{{P_0}} \over 2} + {{Mg} \over {\pi {R^2}}}$$

Answer

$${{{P_0}} \over 2} - {{Mg} \over {\pi {R^2}}}$$

Thermodynamics & KTG

A fixed thermally conducting cylinder has a radius R and height L_0. The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is P_0.

Choose the correct answer: