Answered

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A gas under constant pressure has a volume of 30.57 m and a
temperature of 59.0 K. A change in temperature caused the
volume to change to 21.14 m². Based on the relationship
between volume and temperature, what must have happened to
the temperature?

Sagot :

Oseni

Considering the relationship between volume and temperature, a gas under constant pressure can only have its volume reduced as a result of a decrease in its temperature.

According to Charles law, at constant pressure, the volume of a gas is directly proportional to its absolute temperature. Thus:

V1/T1 = V2/T2 where V1 = intial volume, V2 = final volume, T1 = initial temperature, and T2 = final temperature.

In this case, T1 = 59.0, V1 = 30.57, and V2 = 21.14

T2 = 21.14 x 59/30.57

                 = 20.05 K

It can be seen that the temperature of the gas has reduced from 59.0 K to 20.05K.

More on gas laws can be found here: https://brainly.com/question/1190311