Couitructing A Madaessatical Model To The Eemects or remperature Prediet And Pre

Question

Couitructing A Madaessatical Model To The Eemects or remperature Prediet And Pressure On The Size Of A sciensat (at sea leveln releases a balloon dat coneaars 1 miole of Helinan dae)zas um is leak dease The skin ce this ballooi is made of a Sur than air altorial that can be strekbed or balkon can ileink to zero size and expand so infinite size if it What do you think is going to happen to the volume of such a balloon think will happen as a hesitat of 150 km Artikulate what you alkrwed to rise to a i Use atmospheric data in conjunction with Boyles and Charles's law lo calculate the of a balloon at intervals of la Km (starting from sez ep to 150. volume leve) 2) Use the ideal gas law (FvanRT) to predict the valume of the balloon as a fasction of its altitude (fram sea level to Iso Km in 10. Km intervalsy 3) Calculate de deviation between de vulume cakulawed n and the volume 4) Use data from the CRC Handbook and Excel to do these calculation. s) size of the balkon (as determined in l and 2)as a fuctioo of Plot the atmospheric height. 6) Write accoclusion in which you compare the calculated values for the balloon's volume with che predictinns you made in your hypothesis.

Explanation / Answer

If we have1 mole Helium gas filled in a ballon at sea level then we can consider the pressure to be 1 atm. Now on releasing the ballon the air pressure decreases as the balloon floats higher in the air (assuming that the air is stagnant and temperature is constant). As the pressure of air goes on decreasing as the ballon moves up in air hence the volume of balloon increases as there is less pressure applied on it. Hence here the we ac use1. charle's law by keeping temperature constant we can note the volume change which may be less affected at 10km from sea level (pressure do not change much) but at 20km.30km,...,150km the pressure of air on balloon by air goes on decreasing and hence its volume increases as constant temperature. Similarly charle's law says that if there is increase in volume, temperature increases at constant pressure. The best formula to understand this concept is   2. using PV=nRT whereP= pressure which goes on decreasing V=volume which increases as balloon moves up n=no of molecules that also you're keeping track of T=absolute temperature that decreases at higher altitude

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