An ideal gas follows a process described by the equation P V2=C from the initial (P1, V1, T1) to final (P2, V2, T2) thermodynamics states, where C is a constant. Then :

Question

An ideal gas follows a process described by the equation P V2=C from the initial (P1, V1, T1) to final (P2, V2, T2) thermodynamics states, where C is a constant. Then : (A) If P1>P2 then T1 < T2 (B) If V2>V1 then T2>T1 (C) If V2>V1 then T2P2 then V1>V2

Tardigrade Admin · Accepted Answer

PV 2= C ⇒ ( nRT / V ) V 2= C ⇒ TV = constant ∴ V 2> V 1 ⇒ T 1> T 2

Q. An ideal gas follows a process described by the equation $P V^{2} = C$ from the initial $(P_{1}, V_{1}, T_{1})$ to final $(P_{2}, V_{2}, T_{2})$ thermodynamics states, where $C$ is a constant. Then :

If $P_{1} > P_{2}$ then $T_{1} < T_{2}$

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 $V_{1} > V_{2}$

$P V^{2} = C$
$\Rightarrow \frac{n RT}{V} V^{2} = C$
$\Rightarrow T V =$ constant
$∴ V_{2} > V_{1} \Rightarrow T_{1} > T_{2}$

Q. An ideal gas follows a process described by the equation PV2=C from the initial (P1​,V1​,T1​) to final (P2​,V2​,T2​) thermodynamics states, where C is a constant. Then :

If P1​>P2​ then T1​<T2​

If V2​>V1​ then T2​>T1​

If V2​>V1​ then T2​<T1​

If P1​>P2​ then V1​>V2​