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Merge pull request #18 from cse23-mora/sangeeth
added thermo notes
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---
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title: Types of systems
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description: ""
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---
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## Types of systems
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| open systems | closed systems | Isolated systems |
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|-|-|-|
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| Mass transfer ✔ | ~~Mass transfer~~ | ~~Mass transfer~~|
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| Energy tranfer ✔ | Energy tranfer ✔ | ~~Energy tranfer~~ |
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## Thermodynamics Properties
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| Intensitive properties<br> (not dependent on mass) |Extensive properties <br> (dependent on mass)|
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|-|-|
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| Pressure | Mass |
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| Temperature | |
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|Specific enthalpy (h)| Enthalpy (H) |
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| Specific volume (v)| Volume (V) |
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|Specific entropy (s)| Entropy (S) |
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| Specific heat capacity | Heat capacity|
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| Specific internal energy (u)| Internal energy (U)|
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#### * All Properties are point functions (state functions)
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#### * Work and Heat are path functions .Therefore, work and heat are not properties of a thermodynamic system; they are path-dependent quantities.
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## Thermodynamic Equilibrium
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#### for thermodynamic equilibrium, following must be true
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1. Mechanical Equilibrium
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2. Chemical Equilibrium
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3. Phase Equilibrium
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4. Thermal Equilibrium
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## Common thermodynamic processes
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1. Isobaric Process --> Pressure constant
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2. Isochoric Process --> Volume constant
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3. Isothermal Process --> Temperature constant
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4. Adiabatic Process --> ΔQ =0 (no heat transfer)
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5. Isentropic Process --> Entropy constant
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6. Polytropic Process --> PV<sup>n</sup> = C ; n := polytropic index
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* $PV^n=C$ </br>
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n=0 : Isobaric </br>
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n=1 : Isothermal </br>
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n --> ∞: Isochoric
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#### *For an isentropic process in an ideal gas
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$ PV^γ = C $ </br>
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γ --> heat capacity ratio </br>
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$ γ = \frac{C_p}{C_v} $ and $C_p$ > $C_v$</br>
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---
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title: 2.Zeroth law and first law
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---
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## Zeroth Law
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> If two systems are each in thermal equilibrium with a third system, then they are also in thermal equilibrium with each other
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![alt text](<2.Zeroth law and first law/image-1.png>)
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## First Law
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> Enegy cannot be created and it cannot be destroyed. </br>
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“When a system (closed) undergoes a thermodynamic
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cycle, sum of the net heat supplied to the system from its
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surroundings and the net work input to the system from
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its surroundings must equal zero"
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$\Sigma Q + \Sigma W = 0 $
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$\ Q $ Heat transfer in to the system <br>
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$\ W $ Work transfer in to the system
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![alt text](<2.Zeroth law and first law/image-2.png>)
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- Heat supplied to the system - POSITIVE
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- Work done by the system - POSITIVE
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- Heat rejected by the system - NEGATIVE
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- Work done on the system - NEGATIVE
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### - Corollary
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* The internal energy of a closed system remain
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unchanged if the system is isolated from its
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surrounding
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$ \Sigma (Q + W) = \Delta U $ ` ` if 𝐼𝑓 𝑄 = 0 𝑎𝑛𝑑 𝑊 = 0 𝑡ℎ𝑒𝑛, ∆𝑈 = 0
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### - Corollary
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* For a cycle, the net work done by the system is equal to the net heat added to the system.
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#### Energy balance for closed system: <br>
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$ heat + work = total \space energy $<br>
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$ Q -W = \Delta E$ <br>
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$Q - W = \Delta U + \Delta KE + \Delta PE$ <br>
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$E = U + \frac{1}{2}mC^2 + mgz$
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$\therefore $ Specific total energy $e = u + \frac{1}{2} C^2 + gz$
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## note
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* Transient state - Change with time
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* Steady state - No change with time
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* Heat and work depend on the path it followed.
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They are called “path functions”.
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