John and Jane independently performed a thermodynamic experiment, in which $\mathbf{X}$ and $\mathbf{Y}$ represent the initial and final thermodynamic states of the system, respectively. John performed the experiment under reversible conditions, for which the change in entropy of the system was $\boldsymbol{\Delta} \boldsymbol{S}_{r e v}$. Jane performed the experiment under irreversible conditions, for which the change in entropy of the system was $\boldsymbol{\Delta} \boldsymbol{S}_{i r r}$. Which one of the following relationships is $\text{CORRECT}$?
- $\Delta \boldsymbol{S}_{\boldsymbol{r e v}}=\boldsymbol{\Delta} \boldsymbol{S}_{\boldsymbol{i r r}}$
- $\Delta \boldsymbol{S}_{\boldsymbol{r e v}}>\boldsymbol{\Delta} \boldsymbol{S}_{\boldsymbol{i r r}}$
- $\Delta \boldsymbol{S}_{\boldsymbol{r e v}}<\boldsymbol{\Delta} \boldsymbol{S}_{\boldsymbol{i r r}}$
- $\Delta \boldsymbol{S}_{\boldsymbol{r e v}}=\boldsymbol{2 \Delta} \boldsymbol{S}_{\boldsymbol{i r r}}$