During an adiabatic expansion, the increase in volume is associated with which of the following possibilities w.r.t. pressure and temperature? Pressure Temperature a increase increase b decrease decrease c increase decrease d decrease increase

Question

During an adiabatic expansion, the increase in volume is associated with which of the following possibilities w.r.t. pressure and temperature? Pressure Temperature a increase increase b decrease decrease c increase decrease d decrease increase (A) a (B) b (C) c (D) d

Tardigrade Admin · Accepted Answer

According to first law of thermodynamics

Δ Q = Δ U + Δ W

For an adiabatic process

Δ Q = 0

∴ Δ U = - W

In adiabatic process

p \propto \frac{1}{V ^{γ}}

and

T \propto \frac{1}{V ^{γ - 1}}

γ > 1

, because volume increases.
Then,

p

and

T

will decrease.

Pressure		Temperature
a	increase	increase
b	decrease	decrease
c	increase	decrease
d	decrease	increase

Q. During an adiabatic expansion, the increase in volume is associated with which of the following possibilities w.r.t. pressure and temperature? Pressure Temperature a increase increase b decrease decrease c increase decrease d decrease increase

a

b

c

d

According to first law of thermodynamics ΔQ=ΔU+ΔW For an adiabatic process ΔQ=0 ∴ΔU=−W In adiabatic process p∝Vγ1​ and T∝Vγ−11​ γ>1, because volume increases. Then, p and T will decrease.

Q. During an adiabatic expansion, the increase in volume is associated with which of the following possibilities $w . r . t$ . pressure and temperature?

Pressure Temperature

a increase increase

b decrease decrease

c increase decrease

d decrease increase

According to first law of thermodynamics
$Δ Q = Δ U + Δ W$
For an adiabatic process
$Δ Q = 0$
$∴ Δ U = - W$
In adiabatic process
$p \propto \frac{1}{V ^{γ}}$ and $T \propto \frac{1}{V ^{γ - 1}}$
$γ > 1$ , because volume increases.
Then, $p$ and $T$ will decrease.