A student designs an experiment using an ideal gas, as shown here. Which variable change would most likely increase the volume of the system, as shown in the image?
Responses
A decreasing both the pressure and the temperaturedecreasing both the pressure and the temperature
B decreasing the temperature while increasing the pressuredecreasing the temperature while increasing the pressure
C decreasing the pressure while increasing the temperaturedecreasing the pressure while increasing the temperature
D increasing the pressure while holding the temperature constantincreasing the pressure while holding the temperature constant
C) decreasing the pressure while increasing the temperature
The variable change that would most likely increase the volume of the system in the experiment using an ideal gas is option C: decreasing the pressure while increasing the temperature.
To determine which variable change would most likely increase the volume of the system in the experiment, we can refer to the ideal gas law, which states:
PV = nRT
Where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature.
From this equation, we can analyze the effect of each variable on the volume:
A) If we decrease both the pressure (P) and the temperature (T), the volume (V) will also decrease. This option would not increase the volume.
B) If we decrease the temperature (T) while increasing the pressure (P), the volume (V) could decrease or stay the same depending on the specific conditions. This option would not necessarily increase the volume.
C) If we decrease the pressure (P) while increasing the temperature (T), the volume (V) will increase. This option is likely to increase the volume.
D) If we increase the pressure (P) while holding the temperature (T) constant, the volume (V) will decrease. This option would not increase the volume.
Based on the analysis, option C, decreasing the pressure while increasing the temperature, is most likely to increase the volume of the system in the experiment.