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An ideal gas expands at a constant total pressure of 3.0 atm from 400 mL to 600 mL. heat then flows out of the gas at a constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value. Calculate: (a) the total work done by the gas in the process.(b) the total heat flow into the gas.

Respuesta :

Answer:

60.795 J

60.795 J

Explanation:

P = Pressure = 3 atm

[tex]dU[/tex] = Internal energy = [tex]nC_vdT=0[/tex]

[tex]V_f[/tex] = Final volume = 600 mL

[tex]V_i[/tex] = Initial volume = 400 mL

Work done is given by

[tex]dW=PdV\\\Rightarrow dW=P(V_f-V_i)\\\Rightarrow dW=3\times 101325\times (600-400)\times 10^{-6}\\\Rightarrow dW=60.795\ J[/tex]

The total work done by the gas in the process is 60.795 J

Total heat flow is given by

[tex]dQ=dU+dW\\\Rightarrow dQ=nC_vdT+dW\\\Rightarrow dQ=0+60.795 J\\\Rightarrow dQ=60.795\ J[/tex]

The total heat flow into the gas is 60.795 J

a. The total work done by the gas in the process is 60.795J

b. The total heat flow into the gas is 60.795 J.

Calculation of total work done and total heat flow:

Since

P = Pressure = 3 atm

dU= Internal energy = 0

Vf = Final volume = 600 mL

Vi = Initial volume = 400 mL

a.

The work done is

= PdV

= P(vf - vi)

= 3*101325*(600-400)*10^-6

= 60.795J

b. Now the total heat flow is

= 0 + 60.795J

= 60.795J

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