During an adiabatic expansion the temperature of 0.440 mol of argon (Ar) drops from 61.0 ∘C to 10.0 ∘C. The argon may be treated as an ideal gas.(a) Draw a pV-diagram for this process.
(b) How much work does the gas do?
(c) What is the change in internal energy of the gas? Explain.

Respuesta :

Answer:

W= 2.79 atm.L

ΔU= -2.79 atm.L

Explanation:

Given that

T₁ = 61⁰C

T₂=10⁰C

n= 0.44 moles

We know that specific heat capacity ratio for Ar

γ = 1.66

R=gas constant = 0.0821 atm.L/K.mol

The work done given as

[tex]W=nR\times \dfrac{T_1-T_2}{\gamma - 1}[/tex]

[tex]W=0.44\times 0.0821\times \dfrac{61-10}{1.66- 1}[/tex]

W= 2.79 atm.L

Given that process is adiabatic that is why heat transfer is zero.

From first law

Q= W + ΔU

ΔU=Change in the internal energy

Q=Heat transfer

W= Work transfer

0 = 2.79 + ΔU

ΔU= -2.79 atm.L

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