Thermodynamics.Processes-PV-Diagrams .MS.KC.2: A monoatomic ideal gas undergoes

Question

Thermodynamics.Processes-PV-Diagrams.MS.KC.2: A monoatomic ideal gas undergoes an isother- mal expansion that increases the volume by 50%. No gas particles enter or leave the system. Which of the following statements are true concerning this process?

(a) The pressure decreases by 1/3.
(b) The pressure decreases by 1/2.
(c) The change in the internal energy of the gas is positive. (d) The change in the internal energy of the gas is negative. (e) The gas does work on the environment.
(f) The environment does work on the gas.
(g) Heat flows into the gas.
(h) Heat flows out of the gas.

Explanation / Answer

given
monoatomic gas
undergoes isothermal expansion, volume increases by 50 pc

for isothermal process
PV = constant
hence
P1V1 = P2V2
P2 = P1(V1/1.5V1) = P1/1.5
(P1 - P2)/P1 = (1 - 1/1.5) = 1/3
hecn epressure decreases by 1/3

now, temperature is constnat , so internal energy remains constant
and volume increases to gas does work on the environment

so, work is done on the environment, so heat flows into the system

hence
(a) The pressure decreases by 1/3.
(e) The gas does work on the environment
(g) Heat flows into the gas.

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