What is the change in temperature of a 2.50 L system when its volume is reduced to if the initial temperature was

Question

What is the change in temperature of a 2.50 L system when its volume is reduced to  if the initial temperature was

Quizplus · Accepted Answer

We can use the formula:
(P1V1)/T1 = (P2V2)/T2
where P is pressure and T is temperature.
We can assume that the pressure remains constant in this case.
So we have:
(V1/T1) = (V2/T2)
Solving for T2:
T2 = (V2/V1)T1
T2 = (11.0/2.50) x 286 K = 1549.6 K
The change in temperature is:
ΔT = T2 - T1 = 1549.6 K - 286 K = -1263.6 K
Therefore, the answer is option C) -89 K.

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