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valentinak56 [21]
3 years ago
9

Air is compressed in a cylinder such that the volume changes from 100.0 to 10.0 in^3. The initial pressure is 50.0 psia and the

temperature is held at a constant 100.0 °F. How much work is required to change the volume? (Hint you will need to identify what psia means)
Physics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

5953.42 J

Explanation:

Given:

Initial volume, V_i= 100 in³

Final Volume, V_f = 10 in³

Initial pressure = 50 psia

Temperature = 100° F = 310.93 K

For isothermal reversible process, work done is given as:

Work done = -2.303RTlog_{10}\frac{V_f}{V_i}

Where,

R is the ideal gas constant = 8.314 J/mol.K

or

Work done = -2.303\times8.314\times310.93log_{10}\frac{10}{100}

or

Work done = 5953.42 J

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