Final answer:
The volume of the propane gas will increase when the temperature is raised from 53.0 to 69.0 degrees Celsius and the pressure decreases by 5.0%, as per the ideal gas law.
Step-by-step explanation:
To determine whether the volume of a sample of propane gas increases, decreases, or stays the same when the temperature is raised from 53.0 degrees Celsius to 69.0 degrees Celsius while the pressure decreases by 5.0%, we can refer to the ideal gas law, which is given by PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the universal gas constant, and T is the temperature in Kelvin.
According to the ideal gas law, if the temperature of a gas increases and the pressure decreases, the volume will increase. This is because volume is directly proportional to temperature (in Kelvin) and inversely proportional to pressure, given that the amount of gas (n) and the gas constant (R) are constant. Since the temperature increase from 53.0 degrees Celsius (326.15 K) to 69.0 degrees Celsius (342.15 K) is greater in proportion compared to the 5.0% decrease in pressure, the net effect will be an increase in volume.