Question

23: Air is going on two process separately. One process is isothermal and other is adiabatic process. When drawing both the process in P-V plot, what is the ratio of slope (adiabatic curve) to slope (isothermal curve)? (For air-Cp = 1.005 kJ/kg K; Cv = 0.718 kJ/kg K) 3514077910 -1.4 1.4 -1​

Answer 1

Answer:

For isothermal process pV= constant

⇒(

dV

dp

)=−

V

P

= slope of isothermal curve

For adiabatic process, pV

γ

= constant

⇒(

dV

dp

)=−

V

γp

= slope of adiabatic curve

Clearly, (

dV

dp

)

adiabatic

=γ(

dV

dp

)

isothermal

hope this helps!!!! and please mark it as a brainliest answer

Answer 2

Answer:

The slopes of isothermal and adiabatic process

Adiabatic curve slope = $\gamma$ isothermal curve slope

Explanation:

For isothermal process

An isothermal process is a thermodynamic process in which the temperature of a system remains constant. The transfer of heat into or out of the system happens so slowly that thermal equilibrium is maintained

$pV= constant$

$\Rightarrow(\frac{dP}{dV} )=-\frac{P}{V}$ = slope of isothermal curve

For adiabatic process,

An adiabatic process is defined as a process in which no heat transfer takes place. This does not mean that the temperature is constant, but rather that no heat is transferred into or out from the system.

One of the process's beneficial applications. An illustration of it is a pendulum that oscillates in a vertical plane. Another illustration of an adiabatic system is a quantum harmonic oscillator. There is no heat loss or gain when we place the ice in the icebox.

$pV^{\gamma} =constant$

$\Rightarrow (\frac{dP}{dV} )=-\frac{\gamma p}{V}$ = slope of adiabatic curve

So, $(\frac{dp}{dV} )_{adiabatic} =\gamma(\frac{dp}{dV} )_{isothermal}$

magnitude of slope in adiabatic process > magnitude of process in isothermal process

hence, large angle in positive direction of V-axis by adiabatic process then isothermal process .

so, adiabatic is more steeper then isothrmal process .

In both the expansion and compression operations, the adiabatic curve is steeper than the isothermal curve. Lower slope of the line equates to reaching the same height over a greater distance. Because of this, the adiabatic curve is steeper than the isothermal curve.

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