units?
50. The volume (V) of a mass of gas varies directly as
its absolute temperature (T) and inversely as the
pressure (P) applied to it. The gas occupies a vol-
ume of 400 ml when the temperature is 150 k and
pressure is 240 Pa. What is the temperature of gas
whose volume and pressure are 250 ml and 320 Pa
respectively?
Answers
Answered by
4
Answer:
Temperature T2 = 125 K
Step-by-step explanation:
Data:
Volume = V1 = 400 ml
Temperature = T1 = 150 K
Pressure = P1 = 240 Pa
V2 = 250 ml
P2 = 320 Pa
Formula :
V = k T / P
Required :
Temperature = T2 = ?
Calculation:
We are know that
V = k T / P
To find the value of k we use all given data where K in unknown
V1 = K T1 / P1
Putting values we get
400 = K 150 / 240
K(150) = (400)(240)
K = 400(240) / 150
K = 640 ml Pa/K
Now using the value of K for second data where T is unknown
We know that
V = k T / P
V2 = K T2 / P2
Putting values we get
250 = 640 T2 / 320
T2 = 250(320)/640
T2 = 125 K
Hence
Temperature T2 = 125 K
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