A monatomic gas follows the process 1 rightarrow 2 rightarrow 3 shown in the fig

Question

A monatomic gas follows the process 1 rightarrow 2 rightarrow 3 shown in the figure. How much heat is needed for (a) process 1 rightarrow 2 and (b) process 2 rightarrow 3 ? The temperature in the points 1 and 3 is 100 degree C. How much heat is needed for process 1 rightarrow 2? Express your answer with the appropriate units. How much heat is needed for process 2 rightarrow 3 ? Express your answer with the appropriate units. The figure shows two different processes by which 1.0 g of nitrogen gas moves from state 1 to state 2. The temperature of state 1 is 49 degree C. What is the pressure pi ? Express your answer using two significant figures. What are temperatures (in degree C)T2,T3, and T4? Enter your answers numerically separated by commas. T2,T3,T4 =

Explanation / Answer

22)

A)

Q1-2 = U1-2 + W1-2

W1-2 = P*dV = 3*10^5*(300-200)*10^-6 = 30 J

p1*V1/T1 = p2*v2/T2

(3*100)/300 = (3*300)/T2

T2 = 900 K

U1-2 = n*R*dT/(gamma-1) = p*(dV)/(gamma-1) = 30/(1.67-1) = 44.8

Q1-2 = 30 + 44.8 = 74.8 J

+++++++++++++++

B)

w2-3 = 0

u2-3 = V*(p3-p2)/(gamma-1) = (300*10^-6*(3-2)*10^5)/(1.67-1) = 44.8 J

Q2-3 = 44.8 J

++++++++++++

10)

A)

number of moles = m/M = 1/28 = 0.03571 moles

fro ideeal gas eqution

P1*v1 = n*R*T1

p1*100*10^-6 = 0.03571*8.314*(273+49)

p1 = 955 kpa

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part B

p1*v1/T1 = p2*v2/T2

p1*100/(273+49) = 2p1*100/T2

T2 = 2*(273+49) = 644 K

P1*v1/T3 = P3*v3/T3

P1*100/(273+49) = 1.5p1*50/T3

T3 = 241.5 K

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p1*v1/T1 = p4*v4/T4

p1*100/(273+49) = 1.5p1*150/T4

T4 = 724.5 K

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