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zlopas [31]
2 years ago
9

Mr. Fredrickson fills 1 million balloons to a volume of 2.5 liters each at sea level (1.00 atm), at 19 degrees Celsius. If the b

alloons carry his house to a height of 20,000 feet (0.77 atm), what is the temperature (Celsius) if they each shrink to a volume of 2.0 liters?
Chemistry
1 answer:
aleksley [76]2 years ago
7 0

Answer : The temperature (Celsius) if they each shrink to a volume of 2.0 liters is, 93.1^oC

Explanation :

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}

where,

P_1 = initial pressure of gas = 1.00 atm

P_2 = final pressure of gas = 0.77 atm

V_1 = initial volume of gas = 2.5 L

V_2 = final volume of gas = 2.0 L

T_1 = initial temperature of gas = 19^oC=273+19=292K

T_2 = final temperature of gas = ?

Now put all the given values in the above equation, we get:

\frac{1.00atm\times 2.5L}{292K}=\frac{0.77atm\times 2.0L}{T_2}

T_2=179.9K=273-179.9=93.1^oC

Therefore, the temperature (Celsius) if they each shrink to a volume of 2.0 liters is, 93.1^oC

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