An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Ti is the initial temperature and Tf is the final temperature, which of the following statements is correct ?

Question

An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Ti is the initial temperature and Tf is the final temperature, which of the following statements is correct ? (A) (Tf)irrev > (Tf)rev (B) Tf > Ti for reversible process but Tf = Ti for irreversible process (C) (Tf)rev > (Tf)irrev (D) Tf = Ti for both reversible and irreversible processes

Tardigrade Admin · Accepted Answer

T f (irreversible) > Tf (reversible) It is an adiabatic expansion and W (rev) is maximum.

Q. An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If $T_{i}$ is the initial temperature and $T_{f}$ is the final temperature, which of the following statements is correct ?

$(T_{f})_{i rre v} > (T_{f})_{re v}$

$T_{f} > T_{i}$ for reversible process but $T_{f} = T_{i}$ for irreversible process

$(T_{f})_{re v} > (T_{f})_{i rre v}$

$T_{f} = T_{i}$ for both reversible and irreversible processes

$T_{f (i rre v ers ib l e)} > T_{f (re v ers ib l e)}$
It is an adiabatic expansion and W (rev) is maximum.

Q. An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Ti​ is the initial temperature and Tf​ is the final temperature, which of the following statements is correct ?

(Tf​)irrev​>(Tf​)rev​

Tf​>Ti​ for reversible process but Tf​=Ti​ for irreversible process

(Tf​)rev​>(Tf​)irrev​

Tf​=Ti​ for both reversible and irreversible processes