Question

Rank these systems in order of decreasing entropy. Rank from highest to lowest entropy. To rank items as equivalent overlap them. 


1 mol of hydrogen peroxide gas at 273K and 40L 


1/2 mol of  helium gas at 100 K and 20 L 


1 mol of chlorine gas at 273K and 40 L 


1 mol of chlorine gas at 273K and 40 L 


1/2 mol of helium gas at 273K and 20 L 


1 mol of helium gas at 273K and 20 L 


1/2  mol of liquid helium  at 100K


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Answer #1
Concepts and reason

Entropy

Entropy is defined as the measure of disorder (randomness) of molecules such as helium, chlorine, and hydrogen peroxide in a system. It is a thermodynamic state function.

Fundamentals

Entropy

The entropy of molecules increases with the changing of the physical states of matter from solid to gas due to internal degrees of freedom of motions.

Solid Sid<S,
gas

The entropy of molecules tends to increase with the increase of the following factors:

oTemperature (T)

<
HighT
Low T

oVolume (V)

StlighV
Low V

oNumber of molecules (mole, n)

|Si <S if n2>nl

oSize of the molecules

Small <Medium<S
arge

1mol of
1/2 mol of
mol of
hydrogen peroxide gas at
| chlorine gas at
273 K and 40 L
helium gas at
100 K and 20 L
273 K and 40

Out of all, the lowest entropy is

1/2 mol of
n
liquid helium
at 100 K

The systems are in the decreasing entropy order:

1mol of
helium gas at>| helium gas at |>| helium gas at
|273 K and 20 L
1mol of
1/2 mol of
1/2 mol of
helium gas at
|273 K an

For different gases at same 273 K and same 40 L:

1mol of
hydrogen peroxide gas at
mol of
chlorine gas at>| helium gas at
|273 K and 40 L
mol of
273 K and 40 L
273 K and 40 L

For all systems:

1 mol of
hydrogen peroxide gas at>| chlorine gas at >helium gas at >| helium gas at
273 K and 40 L273 K and 40 L 273 K and 20

Ans:

Greatest entropy
Least entropy
mol of
hydrogen peroxide gas at
mol of
mol of
helium gas at
273 K and 20 L
1/2 mol of
helium g

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