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Georgia [21]
3 years ago
10

Three kilograms of argon (Ar) changes from an initial volume and a temperature of 298K to (a) four times the volume and a temper

ature of 298K and (b) one fourth the original volume under adiabatic conditions. In each case: Calculate the amount of work performed. Is the work done by the system or the surroundings? (pl/, for monatomic gases is 1.667)
Physics
1 answer:
Kay [80]3 years ago
8 0

Answer:

Explanation:

3 kg = 3 / 40 = .075 moles = n

a ) Since the gas is expanding isothermally ( temperature being constant )

work done by the gas

= 2.303 n RT log V₂ / V₁

Here V₂ / V₁ = 4 , T = 298

Put these values in the equation above ,

work done = .075x 2.303 x 8.312 x 298 log 4

= 257.6 J

b) In adibatic change

pv^\gamma = constant

T V^{\gamma-1} = constant

T₁ / T₂ = (\frac{V_2}{V_1}  )^{\gamma-1}

298 / T₂ = ( 4)^{1.667-1}

T₂ = 751.26 K.

In adiabatic change work done

= n R ( T₁ - T₂) / (γ -1)

.075x 8.312 X ( 751 - 298 ) / .667

= 423.38. J

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This question involves the concepts of equilibrium and Newton's third law of motion.

The support force will be "1 pound" for the empty bucket and the support force will be "6 pounds" after pouring water into it.

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