Sudarshan_Hebbar
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How to understand this derivation in a very intuitive way?
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Intuitive Explanation of Adiabatic Condition
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How to understand this derivation in a very intuitive way?
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As I recall the Feynman Lectures have some usefull discussions for ideal gas.
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Which part are you finding unintuitive?
It is basically the conservation of energy, the ideal gas law, the definitions of specific heat, and a bunch of math. So is it the laws, the definitions, or the math?
It is basically the conservation of energy, the ideal gas law, the definitions of specific heat, and a bunch of math. So is it the laws, the definitions, or the math?
Sudarshan_Hebbar
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Mainly, The differential equation. I imagine that it Is describing the process of a small volume change in an adiabatic system and how the pressure is changing in accordance withDale said:
1. the increase in internal energy due to work done by the gas.
2. The change in Volume.
How can I connect these two outcomes to the diffential equation?
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The equation ##\Delta (PV)=P\Delta V+V\Delta P## is incorrect. It should read d(PV)=PdV+VdP. $$\Delta (PV)=P_2V_2-P_1V_1=\left(\frac{P_1+P_2}{2}\right)\Delta V+\left(\frac{V_1+V_2}{2}\right)\Delta P$$Sudarshan_Hebbar said:
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Sudarshan_Hebbar said:
It's relates dP to dV.
Sudarshan_Hebbar said:
I would just end that sentence there.