Type the correct answer in the box. express your answer to three significant figures. an air mattress is filled with 0.55 moles
1 answer:
385 L is the volume of the air mattress with 0.55 moles of air inside the mattress and a temperature of 295 K.
<h3>What is an ideal gas equation?</h3>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=
V =
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:
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Answer:
The volume of this sample when the temperature is changed to 150 K and the pressure is changed to 160 kPa is 52.5 mL.
Explanation:
Boyle's law says that: "The volume occupied by a certain gaseous mass at constant temperature is inversely proportional to pressure" and is expressed mathematically as:
P * V = k
where k is a constant.
Charles's Law consists of the relationship that exists between the volume and the temperature of a certain quantity of ideal gas, which is maintained at a constant pressure, by means of a constant of proportionality that is applied directly. So Charles's law is a law that mathematically says that when the amount of gas and pressure are kept constant, the quotient that exists between the volume and the temperature will always have the same value:
Gay-Lussac's law states that the pressure of a fixed volume of a gas is directly proportional to its temperature. In other words, if the volume of a certain quantity of ideal gas remains constant, the quotient between pressure and temperature remains constant:
Combined law equation is the combination of three gas laws called Boyle's, Charlie's and Gay-Lusac's law:
Considering an initial state 1 and a final state 2, it is satisfied:
In this case:
- P1: 240 kPa
- V1: 70 mL
- T1: 300 K
- P2: 160 kPa
- V2: ?
- T2: 150 K
Replacing:
Solving:
V2= 52.5 mL
<u><em>The volume of this sample when the temperature is changed to 150 K and the pressure is changed to 160 kPa is 52.5 mL.</em></u>