value for heat capacity at constant volume
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Heat Capacity at Constant Volume
Q = nCVΔT
For an ideal gas, applying the First Law of Thermodynamics tells us that heat is also equal to:
Q = ΔEint + W, although W = 0 at constant volume.
For a monatomic ideal gas we showed that ΔEint = (3/2)nRΔT
Comparing our two equations
Q = nCVΔT and Q = (3/2)nRΔT
we see that, for a monatomic ideal gas:
CV = (3/2)R
For diatomic and polyatomic ideal gases we get:
diatomic: CV = (5/2)R
polyatomic: CV = 3R
This is from the extra 2 or 3 contributions to the internal energy from rotations.
Because Q = ΔEint when the volume is constant, the change in internal energy can always be written:
ΔEint = n CV ΔT
Q = nCVΔT
For an ideal gas, applying the First Law of Thermodynamics tells us that heat is also equal to:
Q = ΔEint + W, although W = 0 at constant volume.
For a monatomic ideal gas we showed that ΔEint = (3/2)nRΔT
Comparing our two equations
Q = nCVΔT and Q = (3/2)nRΔT
we see that, for a monatomic ideal gas:
CV = (3/2)R
For diatomic and polyatomic ideal gases we get:
diatomic: CV = (5/2)R
polyatomic: CV = 3R
This is from the extra 2 or 3 contributions to the internal energy from rotations.
Because Q = ΔEint when the volume is constant, the change in internal energy can always be written:
ΔEint = n CV ΔT
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H = i2×r×t it is.......
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