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

Answer: 1.13

Explanation: 1.127 to three significant figures would be 1.13 L