Respuesta :
385 L is the volume of the air mattress with 0.55 moles of air inside the mattress and a temperature of 295 K.
What is an ideal gas equation?
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).
Using the gas law,
PV=nRT, where n is the moles and R is the gas constant. Then divide the given mass by the number of moles to get molar mass.
Given data:
P= 3.5 kPa
V=?
n= 0.55 moles of air
T= 295K
R= 8.314 (L kPa/mol K)
Putting value in the given equation:
V= [tex]\frac{nRT}{P}[/tex]
V = [tex]\frac{(0.55 moles)(8.314 L kPa/mol k)(295 K)}{3.5 kPa}[/tex]
V = 385.4132857 L
And whatever the significant figure is asked for, for example, 3 significant figures: the answer would be 385 litres.
Hence, 385.4132857 L is the volume of the air mattress.
Learn more about the ideal gas here:
https://brainly.com/question/27691721
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