Air enters a hot-air furnace at 7°C and leaves at 77°C.If the pressure does not change each entering cubic meter of air expands to:

Question

Quizplus · Accepted Answer

We can use the formula for isobaric expansion:

V2/V1 = T2/T1

where V = volume and T = temperature

Since the pressure does not change, we can assume that the initial and final volumes are equal:

V2 = V1

We can solve for V1/V2 using the temperatures:

V1/V2 = T1/T2 = (7 + 273)/(77 + 273) = 280/350 = 4/5

Therefore,

V2 = (4/5)V1

Each cubic meter of air expands to 1 + 4/5 = 1.25 m3. Therefore, the answer is choice B.

Air Enters a Hot-Air Furnace at 7°C and Leaves at 77°C.If