Question #200557

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a helium ballon has a volume of 2.40 L at 25.8 degrees celcius and a pressure of 1.17 atm at sea level. The ballon is released and floats upward. At a certain the atmospheric pressure is 0.810 atm and the temperature is 12.0 degrees celcius. Calculate the volume of the ballon
Search instead for a helium ballon has a volume of 2.40 L at 25.8 degrees celcius and a pressure of 1.17 atm at sea level. The ballon is released and floats upward. At a certain the atmospheric pressure is 0.810 atm and the tempurater is 12.0 degrees celcius. Calculate the volume of the ballon
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Expert's answer

"V_1=2.40 \\;L \\\\\n\nT_1=25.8 +273.15=298.95 \\;K \\\\\n\np_1 = 1.17 \\;atm \\\\\n\np_2=0.810 \\;atm \\\\\n\nT_2 = 12.0+273.15=285.15 \\;K \\\\\n\n\\frac{p_1V_1}{T_1}=\\frac{p_2V_2}{T_2} \\\\\n\nV_2 = \\frac{p_1V_1T_2}{T_1p_2} \\\\\n\n= \\frac{1.17 \\times 2.40 \\times 285.15}{298.95 \\times 0.810} \\\\\n\n= 0.574 \\;L"

Answer: 0.574 L

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