A frictionless gas-filled cylinder is fitted with a movable piston, as the drawi

Question

A frictionless gas-filled cylinder is fitted with a movable piston, as the drawing below shows.

The block resting on the top of the piston determines the constant pressure that the gas has. The height h is 0.140 m when the temperature is 273 K and increases as the temperature increases. What is the value of h when the temperature reaches 312 K?

Please show all work and explain your methods.

A frictionless gas-filled cylinder is fitted with a movable piston, as the drawing below shows. The block resting on the top of the piston determines the constant pressure that the gas has. The height h is 0.140 m when the temperature is 273 K and increases as the temperature increases. What is the value of h when the temperature reaches 312 K? Please show all work and explain your methods.

Explanation / Answer

By Charle's Law
V1/T1 = V2/T2

h1/T1 = h2/T2
h2 = h1T2/T1
h2 = 0.14 * 312 / 273
h2 = 0.16 m

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