Answer
$-223^{\circ}$C
Work Step by Step
$P_{1}$ = 2.00 atm
$T_{1}$ = (127+273) K = 400 K
$P_{2}$ = 0.25 atm
According to Gay Lussac's law,
$\frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}}$
Or $T_{2}$ = $\frac{P_{2}T_{1}}{P_{1}} = \frac{0.25atm\times400K}{2.00atm}$ = 50. K = $(50-273)^{\circ}$C = $-223^{\circ}$C