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Byju's Answer
Standard XII
Physics
Assumptions of KTG
Which law sta...
Question
Which law states that the internal energy of a gas is a function of temperature?
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Solution
According to Joule's law, a gas's internal energy is a function of temperature.
The internal energy, which results from the molecular state of motion of matter, is an energy form that exists in every system.
The internal energy is denoted by the letter
U
, and the measurement unit is the
j
o
u
l
e
(
J
)
.
The internal energy of ideal gas is
U
=
C
v
T
. where
C
v
is specific heat at constant volume and
T
is the temperature.
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Assertion :If pressure of an ideal gas is doubled and volume is halved, then its internal energy will remain unchanged. Reason: Internal energy of an ideal gas is a function of temperature only.
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Assertion :According to the law of equipartition of energy, internal energy of an ideal gas at a given temperature, is equally distributed in translational and rotational kinetic energies. Reason: Rotational kinetic energy of a monoatomic gas is zero.
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Assertion :When an ideal gas is taken from a given thermodynamics state
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Q.
STATEMENT-1 : When an ideal gas is taken from a given thermodynamics state A to another given thermodynamic state B by any polytropic process, the change in the internal energy of the system will be the same in all processes.
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Q.
In the figure, an ideal gas changes its state from state
A
to state
C
by two paths
A
B
C
and
A
C
.
The internal energy of gas of
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is
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and the amount of heat supplied to change its state to
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C
is
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