An ideal gas follows a process described by pV2 =C from (p1, V1, T1) to (p2,V2,T2) and C is a constant. Then,

Question

An ideal gas follows a process described by pV2 =C from (p1, V1, T1) to (p2,V2,T2) and C is a constant. Then, (A) if p1 > p2 then T2 > T1 (B) if V2 > V1 then T2 < T1 (C) if V2 > V1 then T2 > T1 (D) if p1 > p2 then T1 > T2

Tardigrade Admin · Accepted Answer

pV2=C ⇒ ((nRT/V)) .V2 =C [∴ for an ideal gas, pV = nRT] ⇒ TV=(C/nR)=a constant ∴ T propto(1/V) so, if V2>V2 then T2 < T1

Q. An ideal gas follows a process described by $p V^{2} = C$ from $(p_{1}, V_{1}, T_{1})$ to $(p_{2}, V_{2}, T_{2})$ and $C$ is a constant. Then,

if $p_{1} > p_{2}$ then $T_{2} > T_{1}$

if $V_{2} > V_{1}$ then $T_{2} < T_{1}$

if $V_{2} > V_{1}$ then $T_{2} > T_{1}$

if $p_{1} > p_{2}$ then $T_{1} > T_{2}$

$p V^{2} = C$
$\Rightarrow (\frac{n RT}{V}) . V^{2} = C$
[ $∴$ for an ideal gas, $p V = n RT$ ]
$\Rightarrow T V = \frac{C}{n R} =$ a constant
$∴ T \propto \frac{1}{V}$
so, if $V_{2} > V_{2}$ then $T_{2} < T_{1}$

Q. An ideal gas follows a process described by pV2=C from (p1​,V1​,T1​) to (p2​,V2​,T2​) and C is a constant. Then,

if p1​>p2​ then T2​>T1​

if V2​>V1​ then T2​<T1​

if V2​>V1​ then T2​>T1​

if p1​>p2​ then T1​>T2​