Answer:
Assuming the temperature and pressure remain constant, increasing the number of moles of oxygen in the tank will cause the volume to increase as well, according to the Ideal Gas Law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
Assuming that the pressure and temperature are constant, we can rearrange the Ideal Gas Law to solve for V:
V = (nRT) / P
Since the pressure and temperature are constant, we can simplify the equation to:
V = constant x n
where the constant is (RT/P).
Thus, if the number of moles is increased from 3 to 7 while the temperature and pressure are held constant, the volume will also increase proportionally to the number of moles. Specifically, the new volume can be calculated as:
V_new = constant x 7
whereas before the volume was:
V_old = constant x 3
Since the constant is the same in both cases, we can say that the new volume will be approximately 2.33 times larger than the old volume:
V_new / V_old = 7 / 3
V_new = V_old x (7 / 3)
V_new = 5 L x (7 / 3)
V_new = 11.67 L (rounded to two decimal places)
Therefore, increasing the number of moles of oxygen in the tank from 3 to 7 while holding temperature and pressure constant would cause the volume to increase from 5 liters to approximately 11.67 liters.
Step-by-step explanation: