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lave to move, ànd in what direction? 4) 0.10mol of an ideal gas is expanded isothermally at 50°C from an initial volume of 14L to a final volume of 3.2L. Calculate the work done along each of the following paths: (a) reversible, (b) pressure dropped suddenly to the final pressure, (c) a two-step process with two equal pressure drops.
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Answer #1

4)

number of moles of an ideal gas (n) = 0.10

T = 50oC = 323 K

Vi = 1.4 L

Vf = 3.2 L

(a) Reversible:

W = 2.303nRTlog(Vf/Vi)

W = 2.303 x 0.10 x 8.314 x 323 x log(3.2/1.4)

W = 222.04 J

W = 0.2220 kJ

(b) The sudden drop to final pressure in ideal gas will compress the gas. The work done will be less.

(c) A two step process with two equal pressure drop:

During both the steps, the compression will happen. However, during first pressure drop, the work done will be more compared to the second step.

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