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

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= $\frac{nRT}{P}$  

V = $\frac{(0.55 moles)(8.314 L kPa/mol k)(295 K)}{3.5 kPa}$

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:

brainly.com/question/27691721

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