Question

Three indistinguishable soda bottles are employed in an experiment. Among them, one is retained at room temperature, another is subjected to cooling, and the third is subjected to heating. Subsequently, the bottles are unsealed, and balloons are affixed atop each to capture the released gas. The temperatures and corresponding outcomes are presented. The balloon on the bottle cap that is 2°C is blown up, but it is very small. The one that is 22°C bigger than 2°C. The bottle that is 44°C is bigger than 22°C. Which statement is true about the warmest bottle?

Answer 1

Based on the information provided, we can analyze the situation with respect to the gas laws and the behavior of gases at different temperatures.

1. The bottle at **2°C** produces a small balloon, meaning it generates a small amount of gas.
2. The bottle at **22°C** produces a larger balloon than the one at 2°C, indicating a greater volume of gas is produced.
3. The bottle at **44°C** has an even larger balloon than the one at 22°C, showing that it generates the most gas of the three.

From the observations, the trend indicates that as the temperature of the soda bottles increases, the volume of gas produced (as indicated by balloon size) also increases. This is in line with the ideal gas law, which states that at a constant pressure, the volume of a gas is directly proportional to its temperature.

Given this reasoning, the **warmest bottle**, which is the one at **44°C**, is true in terms of generating the largest volume of gas. Therefore, we can conclude that the statement regarding the warmest bottle (44°C) would be:

"The warmest bottle (44°C) produces the largest amount of gas, resulting in the biggest balloon."