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A hot air balloonist puts 52000 L of air into their balloon at 500 Celsius and 975 atm. When they heat

the air to 750 celsius what is the final volume (in cm^3) in the balloon?

1 Answer

6 votes

Answer: The final volume in the balloon is
68.818cm^3

Step-by-step explanation:

Charles' Law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles of gas.

Mathematically,


\text{Volume}\propto \text{Temperature}

Or,


(V_1)/(T_1)=(V_2)/(T_2) (At constant pressure and number of moles)


V_1 = initial volume = 52000 L


V_2 = final volume = ?


T_1 = initial temperature =
500^0C=(500+273)K=773 K


T_2 = final temperature =
750^0C=(750+273)K=1023 K


(52000)/(773)=(V_2)/(1023)


V_2=68818L=68.818ml=68.818cm^3
(1L=1000ml=1000cm^3)

Thus final volume in the balloon is
68.818cm^3

User Rob Lambden
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