The air in a balloon occupies a volume of 0.10 m³ when at a temperature of 27ºC and a pressure of 1.2 atm.What is the balloon's volume at 7ºC and 1.0 atm? (The amount of gas remains constant.) A)0.022 m³ B)0.078 m³ C)0.089 m³ D)0.11 m³ E)0.13 m³

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Quizplus · Accepted Answer

To find the new volume, we can use the combined gas law: $ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} $. Given $P_1 = 1.2 \, \text{atm}$, $V_1 = 0.10 \, \text{m}^3$, $T_1 = 27^\circ C = 300 \, K$, $P_2 = 1.0 \, \text{atm}$, and $T_2 = 7^\circ C = 280 \, K$, solving for $V_2$ gives a value close to $0.11 \, \text{m}^3$, considering the direct and inverse relationships between pressure, volume, and temperature.

The Air in a Balloon Occupies a Volume of 0