Consider the following closed system PV diagram for an ideal gas. This plot show

Question

Consider the following closed system PV diagram for an ideal gas. This plot shows two isotherms and five different paths: 1 – 5.( The arrows indicates the direction each path follows).

1. Consider the following closed system PV diagram for an ideal gas. This plot shows two isotherms and five different paths: 1- 5The arrows indicates the direction each path follows). Pressure (atm) 3 T. 2 Volume (m3) Match EACH path 1-5 with one of the following descriptions and explain/jiustify vour reasoning C.QW0

Explanation / Answer

For the paths shown, T2>T1

Path 3 is constant volume process and for constnt volume process of an ideal gas W= P*dV=0 . Q= CV*(T1-T2)

T2>T1. Q<0 ( path A)

path 5 is constanrt pressure process and for constant pressrue ( isobaric process), W=- P*(V2-V1) =-R*(T2-T1)<0

and Q=Cp*IT2-T1) > 0 ,

:Path-1 is isothermal process for which deltaU=0 , deltaU= Q-W, Q= W >0 ( since there is an increase in volume in path -1) ( D is the answer)

path 4 is heating. Q>O and deltaU= Q-W

W= Q-deltaU

W<Q

O<W<Q ( B is the correct answer)

for cooling ( path -2), Q>W>0 ( reverse of path-4). ( C is the correct answer)

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