An air mattress is filled with 16.5 moles of air. the air inside the mattress has a temperature of 295 k and a gauge pressure of 3.5 kilopascals. what is the volume of the air mattress? the volume of the air mattress is__liters.

Explanation:

According to ideal gas equation, product of pressure and volume equals n times R times T.

Mathematically,         PV = nRT

where       P = pressure

                 V = volume

                 n = number of moles

                 R = gas constant

                 T = temperature

Therefore, it is given that no. of moles is 16.5 mol, pressure is 3.5 kilopascal equals 0.035 atm (as 1 Kpa = 0.01 atm), temperature is 295 K and R = 0.082 .

Hence, calculate the volume as follows.

                                   PV = nRT

                                 V =

                                     = 11403.85 L

Hence, we can conclude that the volume of the air mattress is 11403.85 liters.