The volume of the air mattress in litres is 385 litres when absolute pressure was 3.5 kilopascals.
The ideal gas law (PV = nRT) relates to the macroscopic properties of ideal gases. An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).
Given data:
P= 3.5 kPa
V=?
n= 0.55 moles of air
T= 295K
R= 8.314 (L kPa/mol K)
We use the constant rate of 8.314 because we are using kilopascals in this problem.
Using the equation:
PV=nRT,
V = [tex]\frac{0.55 \;moles \;X \;8.314 \;L \;k\;Pa/mol k \;X \;295 K}{3.5 \;kPa}[/tex]
V = 385.4132857 L.
Hence, the volume of the air mattress in litres is 385 litres.
Learn more about an ideal gas equation here:
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