With pressure constant, the temperature of a gas is increased from 30° C to 90°C. The volume will...?
a)triple
b)decrease by ½
c)increase by about 20%
d)remain the same
Answer:
a.
The volume will increase as the temperature goes up, but to get the amount you must convert the temperatures to Kelvin so the answer is (90 + 273) / ( 30 + 273) = 363/303 = 1.2 so the volume increased by 20%
Volume and temperature are directly proportional. Think of heating a balloon. The volume will expand.
The only tricky part is that you have to use Kelvin for the temperature and not Celsius. So the temperature is increasing from 303 K to 363K.
That would be a 20% increase.
You need to convert to Kelvin first.
30C + 273.15 = 303.15K
90C + 273.15 = 363.15K
Now, with constant pressure:
V1/T1 = V2/T2
V1T2/T1 = V2
V1(363.15)/(303.15) = V2
(1.198)V1 = V2
(119.8%)V1 = V2
So it increased by 19.8%. The answer is c.
c). This is Charle's Law. (T & V are Directly Proportional)
363/303 = 1.20 .The volume will increase by 20%.
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