Six thermodynamic states of the same monatomic ideal gas sample are represented in the figure. Rank…
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Question “Six thermodynamic states of the same monatomic ideal gas sample are represented in the figure. Rank…”
Six thermodynamic states of the same monatomic ideal gas sample are
represented in the figure.
Rank these states on the basis of the temperature of the gas sample
in each state.
Rank from largest to smallest. To rank items as equivalent, overlap
them.
E> F> D> C> B> A IS NOT THE ANSWER
Answer
This problem was solved by the ideal gas equation.
To find the temperature in each thermodynamic state, use the concept of ideal gases.
To rank each thermodynamic state from largest to most extreme, use the temperature.
The ideal gas equation or the equation of state is defined as the volume
occupied by n number of moles at pressure
.
Here
refers to the pressure of the gas;
refers to the volume of gas;
refers to the moles or amount of substance.
, also known as universal gas constant, is the product Boltzmann constant, Avogadro number and
the absolute temperature.
The following expressions can be used to describe the ideal gas:
Modify the expression above for
.
The following expression is used to determine the ideal gas temperature:
…… (1)
For state A
Substitute HTMLmedia_tag_13$ for
or HTMLmedia_tag_15$ to
.
For state B,
Substitute HTMLmedia_tag_18$ for
or HTMLmedia_tag_20$ to get
.
For state C
Substitute HTMLmedia_tag_23$ for
or HTMLmedia_tag_25$ to get
For state D
Substitute HTMLmedia_tag_23$ for
or HTMLmedia_tag_30$ to get
.
For state E:
Substitute HTMLmedia_tag_23$ for
or HTMLmedia_tag_35$ to get
For state F
Substitute HTMLmedia_tag_38$ for
, and HTMLmedia_tag_40$ to replace
.
You can compare the temperatures of different states and order them from largest to most.
This is the order in which the gas temperature at each state changes.
Ans:
The descending temperature order for different states is
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