Question

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.

Answer 1

1.127 L

Step-by-step explanation:

The volume of air is calculated using the ideal gas equation represented by 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