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Difference between Isothermal and Adiabatic Changes

pv-diagram

Difference between Isothermal and Adiabatic Changes

ISOTHERMAL CHANGES

ADIABATIC CHANGES

 1. Temperature (T) remains constant i.e. ∆T = 0.  1. Heat (Q) remains constant i.e. Q=∆0.
 2. Internal energy (U) remains constant i.e. ∆U=0.  2. Internal energy changes i.e. ∆U ≠ 0.
 3. System is thermally conducting to the surroundings.  3. System is thermally insulated from the surroundings.
 4. The changes occur slowly.  4. The changes occur suddenly.
 5. Specific heat becomes infinite.  \frac{\bigtriangleup Q}{\bigtriangleup T} = {\infty}.  5. Specific heat becomes zero. \frac{\bigtriangleup Q}{\bigtriangleup T} = 0.
 6. PV = constant (equation of isothermal change). 6.  PV^{\gamma}= constant (Equation of adiabatic change).
 7. Slope of Isothermal Curve \frac{dP}{dV} = -(P/V)  7. Slope of adiabatic Curve \frac{dP}{dV} = -\gamma(P/V)
8. Word done in isothermal expansion

W = 2.303 RT log10(V2/V1)

W = 2.303 RT log10(P1/P2)

W = 2.303 P1V1 log10(V2/V1)

8. Work done in adiabatic expansion

W = \frac{R(T_{2} - T_{1})}{1 - \gamma}

W = C_{v}(T_{1} - T_{2})

W = \frac{P_{2}V_{2} - P_{1}V_{1}}{1 - \gamma}

 

Ankit Kamboj
Founder of (PCM Encyclopedia).
http://www.pcmpedia.blogspot.in

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