A cylinder of .290 meters cubed contains 10.1 mil of neon gas at 21.5 degrees Ce

Question

A cylinder of .290 meters cubed contains 10.1 mil of neon gas at 21.5 degrees Celsius. Assumed neon behaves like an ideal gas.

What is the pressure of the gas in pascals?

Find the internal energy of the gas in joules

Suppose the gas expands at constant pressure to a volume of 1.000 meters cubed, how much work is done on the gas in joules?

What is the temperature of the Gas at the new volume in kelvins


Find the internal energy of the gas when the volume is 1.000 meters cubed.

Compute the change internal energy during the expansion? In joules

Compute delta u minus w in joules

Should thermal energy be transferred to the gas During the constant pressure expansion or taken away?

Explanation / Answer

(a) pV = nRuT

p*0.29 = 10.1*8.314*(21.5+273)

So, p = 85274.4 Pa

(b) Internal energy = nCvT = 10.1*12.5*(21.5+273) = 37096 J

(c) Work done W = p(V2-V1) = 85274.4*(1-0.29) = 60544 J

(d) Using V/T constant we get, 0.29/(21.5+273) = 1/T

So, T = 1015 K = 742 deg C

(e) Internal energy = nCvT = 10.1*12.5*(742+273) = 128209 J

(f) Change in interal energy U = 37096 - 128209 = -91113 J

(g) U - W = -91113 - 60544 = -151657 J

(h) Since U - W is negative, heat must be transferred to the gas.

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