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.

Question

Chemistry

Thalia Boyd

18 January, 16:20

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.

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Answers (1)

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Leonardo Curtis · 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.