A hot air balloon is filled with 1.35×10^6  of an ideal gas on a cool morning (11 ∘C). The air is heated to 101∘C. What is the volume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon.

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A hot air balloon is filled with 1.35×10^6  of an ideal gas on a cool morning (11 ∘C). The air is heated to 101∘C. What is the volume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon.

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Step 1

Assuming that none of the gas escapes from the balloon.

Using Charles's law : At constant pressure, the volume of a given mass of gass is directly related to it's temperature in Kelvin. 

                         V1 / T1 = V2 / T

Where,

Vis the initial volume 

V2 is the final volume

T1 is the initial temperature

Tis the final temperature 

 

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