# A frictionless gas-filled cylinder is fitted with a movable piston. The block resting on the top of the piston determines the constant pressure that the gas has. The height h is 0.112 m when the temperature is 273 K and increases as the temperature increases. What is the value of h when the temperature reaches 330 K?

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A frictionless gas-filled cylinder is fitted with a movable piston. The block resting on the top of the piston determines the constant pressure that the gas has. The height h is 0.112 m when the temperature is 273 K and increases as the temperature increases. What is the value of h when the temperature reaches 330 K?

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Step 1

Let V1 be the initial volume of the cylinder at temperature T1, as temperature change to T2 the volume change to V2.

According to Charles Law, it is possible to write,

Step 2

The height of the cylinder changes with temperature. Substitute, (pi)r2h1 for V1 and (pi)r2h2 for V2 in e...

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