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

ID: 2251522 • Letter: A

Question

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

The block resting on the top of the piston determines the constant pressure that the gas has. The height h is 0.137 m when the temperature is 273 K and increases as the temperature increases. What is the value of h when the temperature reaches 300 K? (Ignore any effects of atmospheric pressure. Consider the outside of the piston to be in a vacuum.)

A frictionless gas-filled cylinder is fitted with a movable piston, as the figure below shows. The block resting on the top of the piston determines the constant pressure that the gas has. The height h is 0.137 m when the temperature is 273 K and increases as the temperature increases. What is the value of h when the temperature reaches 300 K? (Ignore any effects of atmospheric pressure. Consider the outside of the piston to be in a vacuum.)

Explanation / Answer

use charles' law for ideal gas. Ratio of the volume to the absloute temperature is constant,for an ideal gas at constant pressure.


h1/T1 = h2/T2
h2=(T2)(h1)/(T1)
h2=(273k)(0.137m)/(300k)
h2=0.1246m

the height is 0.1246 m

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