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

Answer: 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/P

• V = (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.