Final answer:
To calculate the decrease in volume of the gas, use the formula: Change in volume = π * (final diameter/2)² * final distance - π * (initial diameter/2)² * initial distance. Substituting the given values into the formula will yield the decrease in volume in cubic centimeters. Consider the uncertainties in the diameter and distance values to estimate the uncertainty in this volume.
Step-by-step explanation:
The decrease in volume of the gas can be calculated using the formula:
Change in volume = π * (final diameter/2)² * final distance - π * (initial diameter/2)² * initial distance
Substituting the given values into the formula:
Change in volume = π * (7.500 cm + 0.002 cm)/2)² * (3.250 cm) - π * (7.500 cm/2)² * (0)
Calculating this expression will give you the decrease in volume of the gas in cubic centimeters. The uncertainty in this volume can be estimated by considering the uncertainties in the diameter and distance values.