Various gas expansions pv plots and work mastering physics

An ideal monatomic gas is included in a cylinder via a movable piston. Initially, the gas is at push and temperature
*
, and the cylinder has volume .

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The diagram mirrors several feasible procedures of expansion.

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Note that the "coordinates" on talwaei.coms diagram are rather unusual: They recurrent the family member adjust in push and also in volume.

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Walwaei.comch of the curves in the number represents an isothermal process?


alwaei.comnt A.1Use the right gas lawThe appropriate gas legislation says that
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. An isothermal process is a procedure that takes location at constant temperature. From the right gas regulation, if
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, then
*
. Walwaei.comch of the curves shown synchronizes to such a case?
Calculate the change in interior power
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of the gas as it increases isothermally from to the last volume
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. Here,
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is the ratio of last volume to initial volume;
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in talwaei.coms difficulty.

The complete interior energy of the appropriate gas isequal to the complete kinetic power of all the individual gas atoms.According to the Equipartition Theorem, for each atom

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,

wright here
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is Boltzmann"s consistent.

What is the total internal energy

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for a three-dimensional gas of
*
particles at temperature
*
, push , and volume ?