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A chamber fitted with a piston contains 1.90 mol of an ideal gas. Part A The piston is slowly moved to decrease the chamber volume while the gas temperature is held constant at 296 K. How much work is done by the gas if the final chamber volume is one-third the initial volume

Respuesta :

Answer:

The work done is 5136.88 J.

Explanation:

Given that,

n = 1.90 mol

Temperature = 296 K

If the initial volume is V then the final volume will be V/3.

We need to calculate the work done

Using formula of work done

[tex]W=nRT\ ln(\dfrac{V_{f}}{V_{i}})[/tex]

Put the value into the formula

[tex]W=1.90\times8.314\times296\ ln(\dfrac{\dfrac{V}{3}}{V})[/tex]

[tex]W=1.90\times8.314\times296\ ln(\dfrac{1}{3})[/tex]

[tex]W=−5136.88\ J[/tex]

The Work done on the system.

Hence, The work done is 5136.88 J.

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