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vaieri [72.5K]
2 years ago
8

1.00 mole of an ideal monoatomic gas at STP first undergoes isothermal expansion so that the volume at b is 2.5 times the volume

at a. Next, heat is extracted at a constant volume so that the pressure drops. The gas is then compressed adiabatically back to the original state. Calculate the pressure at c.
Chemistry
1 answer:
MrRa [10]2 years ago
8 0

Answer:

the pressure at c = 0.27 atm

Explanation:

Given that:

number of moles (n) = 1.0 moles

Value of gamma in the monoatomic gas (γ) = 5/3

During an isothermal expansion, the volume at b is = 2.5 times the volume at a ; this implies that:

V_b = 2.5 V_a

∴ To calculate  the pressure at c from a; the process is adiabatic compression; so we apply:

P_aV_a^\gamma=P_cV_c^\gamma

\frac{P_c}{P_a}=[\frac{V_a}{V_c}]^{(2/3)

\frac{P_c}{1.0 atm}=[\frac{1}{2.5}]^{(2/3)

P_c=0.27 atm

Thus, the pressure at c = 0.27 atm

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