Type the correct answer in the box. express your answer to three significant figures. 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.

V = 1.13 L.

Explanation:

The volume the air mattress can be calculated using the ideal gas law: PV = nRT.Where, P is the pressure in atm.

P = 3.5 KPa, should be converted to atm.

1.0 atm = 0.00987 KPa

??? atm = 3.5 KPa

P (atm) = (3.5 KPa x 1.0 atm) / (0.00987 KPa) = 354.6 atm.

V is the volume in L = ???n is the number of moles = 16.5 moles.R is the general gas constant = 0.0821 L.atm/mol.K.T is the temperature in K = 295.0 K.Then, V = nRT/PV = (16.5 mol x 0.0821 L.atm/mol.K x 295.0 K) / (354.6 atm) = 1.127 L.The answer expressed in three significant figures is V = 1.13 L.