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Alekssandra [29.7K]
3 years ago
9

9. A balloon with a volume of 100.21 L at 21 °C and 0.981 atm is released and just barely clears the top of Mount Crumpet in Bri

tish Columbia. If the final volume of the balloon is 144.53 L at a temperature of 5.24 °C, what is the pressure experienced by the balloon as it clears Mount Crumpet?
Physics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

0.71868 atm

Explanation:

P_1 = Initial pressure = 0.981 atm

T_1 = Initial Temperature = 21 °C

V_1 = Initial volume = 100.21 L

P_2 = Final pressure

T_2 = Final Temperature = 5.24 °C

V_1 = Final volume = 144.53 L

From ideal gas law we have

\dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}\\\Rightarrow P_2=\dfrac{P_1V_1T_2}{T_1V_2}\\\Rightarrow P_2=\dfrac{0.981\times 100.21(273.15+21)}{(5.24+273.15)\times 144.53}\\\Rightarrow P_2=0.71868\ atm

The pressure experienced by the balloon as it clears Mount Crumpet is 0.71868 atm

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