Question

Type the correct answer in the box. Express your answer to three significant figures. An air mattress is filled with 0. 55 moles of air. The air inside the mattress has a temperature of 295 K and an absolute pressure of 3. 5 kilopascals. What is the volume of the air mattress? The volume of the air mattress is liters.

Answer 1

Answer:

385 L

Step-by-step explanation:

Answer 2

The volume of the air mattress in liters is 385.43 liters approx.

What is ideal gas law?

For an ideal gas(or a gas that behaves sufficiently like an ideal gas), we have the following relation:

$\rm PV = nRT$

where, the symbol denotes:

• P = Pressure of the gas
• V = volume of the gas
• T = temperature of the gas
• n = count of moles of the gas
• R = universal gas constant = 8314.46261815324 $L.Pa.K^{-1}.mol^{-1}$

For the given case, the gas in the air mattress has following properties:

P = 3.5 kilopascals =3500 pascals

T =295 K

n = 0.55 moles

V = volume of gas in air mattress = volume of mattress (to evaluate).

Thus, using the ideal gas law, we get:

$V = \dfrac{nRT}{P} = \dfrac{0.55 \times 8314.46261815324 \times 295}{3500} \approx 385.43 \: \rm liters$

Thus, the volume of the air mattress in liters is 385.43 liters approx.

Learn more about ideal gas law here:

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