A gas-filled balloon with a volume of 12.5 L at 0.90 atm and 21^$\circ$C is allowed to rise to the stratosphere where the temperature is -5^$\circ$C and the pressure is 1.0 millibar. What is the final volume of the balloon in Liters 1.000 atm = 1.013 bar. A) 1.0 * 10⁴ L B) 1.2 * 10⁴ L C) 1.4 * 10⁴ L D) 1.6 * 10⁴ L E) None of the above

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Quizplus · Accepted Answer

Using the combined gas law, we can calculate the final volume of the balloon:(P1 * V1) / T1 = (P2 * V2) / T2where P1, V1, and T1 are the initial pressure, volume, and temperature, and P2, V2, and T2 are the final pressure, volume, and temperature.Plugging in the given values:(0.90 atm * 12.5 L) / (21 + 273) K = (1.0 mbar * V2) / (-5 + 273) KConverting millibars to atmospheres:(0.90 atm * 12.5 L) / (21 + 273) K = (1.0 * 10^-3 atm * V2) / (-5 + 273) KSolving for V2:V2 = (0.90 atm * 12.5 L * (-5 + 273) K) / (21 + 273) K * (1.0 * 10^-3 atm)V2 = 1.2 * 10^4 LTherefore, the final volume of the balloon is 1.2 * 10^4 L.

A Gas-Filled Balloon with a Volume of 12 ∘\circ∘ C Is Allowed to Rise to the Stratosphere Where the 0.90

A Gas-Filled Balloon with a Volume of 12 $\circ$ C Is Allowed to Rise to the Stratosphere Where the 0.90