Final answer:
When the volume and absolute temperature of a gas are both doubled, the pressure stays the same according to the ideal gas law.
Step-by-step explanation:
When the volume of a fixed amount of gas is doubled and the absolute temperature is also doubled, according to the ideal gas law, pressure would remain constant. The ideal gas law is described by the equation PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvins.
In this case, if both the volume (V) and absolute temperature (T) are doubled, the product of the original volume and temperature (VT) is quadrupled. However, since both the volume and temperature have been doubled, the new product of volume and temperature (V2T2) is also quadrupled, thus the pressure (P) remains unchanged. This is an application of the combined gas law which combines Charles's law, Boyle's law, and Gay-Lussac's law.
Step-by-step analysis:
- Original situation: PV = nRT
- Volume is doubled: V becomes 2V.
- Temperature is doubled: T becomes 2T.
- New situation: P(2V) = nR(2T).
- Rearranging: P = nRT / V (pressure remains the same).