Question

Write the significance of adiabatic curve being steeper than isothermal curve.

Answer 1

Answer:

Explanation:

Abhi178

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Abhi178★ Brainly Teacher ★

in adiabatic process curve is more steeper , then isothermal process .

actually , steeping nature of curve depends upon , slope of that curve

first of all we find slope of curve in both processes .

case 1 :- isotheramal process

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PV = constant = K

differentiate wrt V

V.dP/dV + P = 0

dP/dV = -P/V

|dP/dV| = P/V

dP/dV is the slope of curve in P-V graph

case 2 :- adiabatic process

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PV^y = constant = K

differentiate wrt V

V^y .dP/dV + yV^(y-1)P = 0

V.dP/dV + yP = 0

dP/dV = -yP/V = y( -P/V)

|dP/dV| = yP/V --------(2)

if we talk about magnitude of slope in both process , then above explanation we can see that ,

|dP/dV|( adiabatic ) = y|dP/dV| ( isothermal)

e.g

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 .

Aayan

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