An ideal gas contained in a rigid, sealed vessel of fixed volume has its absolute (kelvin) temperature reduced to one-quarter of its initial value.
Which row in the table correctly identifies two physical quantities of the gas that both decrease to exactly one-quarter of their original values?
| First Quantity | Second Quantity | |
|---|---|---|
| A | pressure of the gas | root-mean-square (rms) speed of the molecules |
| B | mean square speed of the molecules | internal energy of the gas |
| C | density of the gas | mean kinetic energy of the molecules |
| D | pressure of the gas | density of the gas |
Explain your answer fully by showing how each of the quantities listed in the table scales with absolute temperature.
