Answer:
0.002991 cubic meters
Step-by-step explanation:
To determine the volume of the air mattress, we can use the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
We are given that the air inside the mattress has a pressure of 3.5 kilopascals and a temperature of 295 K, and that there are 0.55 moles of air inside the mattress. We can use this information to solve for the volume:
V = (nRT) / P
V = (0.55 * 8.314 * 295) / (3.5 * 1000)
V = 0.002991 m^3
So the volume of the air mattress is approximately 0.002991 cubic meters