Answer
a. $303 ^{\circ} C$
b. $-129 ^{\circ} C$
c. $591 ^{\circ} C$
d. $136 ^{\circ} C$
Work Step by Step
$$\frac{T_1}{V_1} = \frac{T_2}{V_2} \longrightarrow \frac{T_1}{V_1}V_2 = T_2$$
$$T_2 = V_2\frac{T_1}{V_1}$$
$T_1/K = 15 + 273 = 288$
a. $$T_2 = (5.00 \space L)\frac{288 \space K}{2.50 \space L} = 576 \space K$$
$T_2/^{\circ}C = 576 - 273 = 303$
$T_2 = 303 ^{\circ} C$
b. $$T_2 = (1.25 \space L)\frac{288 \space K}{2.50 \space L} = 144 \space K$$
$T_2/^{\circ}C = 144 - 273 = -129$
$T_2 = -129 ^{\circ} C$
c. $$T_2 = (7.50 \space L)\frac{288 \space K}{2.50 \space L} = 864 \space K$$
$T_2/^{\circ}C = 864 - 273 = 591$
$T_2 = 591 ^{\circ} C$
d. $$T_2 = (3.55 \space L)\frac{288 \space K}{2.50 \space L} = 409 \space K$$
$T_2/^{\circ}C = 409 - 273 = 136$
$T_2 = 136 ^{\circ} C$
