Final answer:
To determine the amount of neon gas that escaped from the balloon, we can set up a proportion based on the ideal gas law, assuming constant temperature and pressure. By comparing the initial and final volumes with the associated mass of neon, we can calculate the mass that escaped when the volume decreased from 75.0 liters to 61.8 liters.
Step-by-step explanation:
The question involves the calculation of the amount of neon gas that escaped from a balloon when its volume decreased from 75.0 liters to 61.8 liters. Initially, the balloon held 59.3 grams of neon. To find the mass of neon that escaped, we assume that temperature and pressure conditions are constant. Therefore, we can use the ideal gas law, which states that the amount of gas is directly proportional to its volume at a fixed pressure and temperature.
Here's the calculation: The initial amount of gas was 59.3 grams corresponding to 75.0 liters. When the volume is reduced to 61.8 liters, we can set up a proportion to find the new mass:
75.0 L / 59.3 g = 61.8 L / x g
Solving for x gives the mass of neon remaining in the balloon. Subtracting this from 59.3 grams will give us the mass of neon that escaped.