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.

 The volume  of  air  mattress is  = 1.127 L

    calculation

The   volume  of air is calculated  using the ideal gas equation

that is Pv=nRT  where,

     P(pressure)= 3.5 kilopascals  convert  into Atm

                      1 atm   =0.00987 KPa

                        ?atm  =  3.5 Kpa

=  (3.5 kpa  x 1 atm)  / 0.00987 kpa =354.6  atm

V(volume) = ?

n( no  of moles) = 16.5  moles

R (gas constant)=   0.0821 L.atm/mol.K

T(Temperature) =  295 K

make V  the subject of the formula   V=nRT/P

V= ( 16.5 moles x 0.0821  atm/mol.K  x 295 k)  /354.6 atm =1.127 L