A cylinder with a moveable piston contains 92g of Nitrogen. The external pressur

Question

A cylinder with a moveable piston contains 92g of Nitrogen. The external pressure is constant at 1.00 atm. The initial temperature is 200K. When the temperature is decreased by 82 K, by putting it in a lower temperature freezer, the volume will decrease, according to the Ideal Gas Law. Calculate the work for this process. Express your answer in J. The conversion factor between liter atmospheres and joules is 101.3 J = 1 L atm. The gas constant is 0.08206 (L atm)/(mol K). Molecular weight of Nitrogen is 28 g/mol

Explanation / Answer

m = 92 g of N2

MW = 28 g/mol

mol = 92/28 = 3.29 mol

P = 1 atm = 101325 Pa

T1 = 200 K

T2 = 200-82 = 118 K

Vdecreases

W = - P *(Vf-Vi)

P1V1 = n1*R*T1

V1 = 3.29*0.082*200/(1) = 53.956 L

V2 = 3.29*0.082*118/(1) = 31.834 L

W = - P *(Vf-Vi)

W = - 1 *(31.834 -53.956 )

W = 22.122 atmL

w = 22.122*101.3

W = 2240.9586 J

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