To derive the expression for the work done by an expanding gas, d W = p d V , an

ID: 1311716 • Letter: T

Question

To derive the expression for the work done by an expanding gas, dW=pdV, and to understand how it follows from the expression W=Fd for mechanical work.

If the piston moves a distance dx, what is dW, the work done by the gas?

Express the work done by the gas in terms of given quantities.

What is dV, the increase in volume of the gas?

Express the differential increase in terms of dx and other given quantities.

Suppose that the gas expands from V0 to V1 at constant pressure p0. How much work W is done by the gas?

Express the work in terms of p0, V0, and V1.

Explanation / Answer

increase in volume ,dV = (V1 - V0)

Work done = p0*(V1 - V0)

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To derive the expression for the work done by an expanding gas, d W = p d V , an

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Explanation / Answer

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