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Estimate the number of air molecules in an average-sized room.
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- Approximately how many atoms thick is a cell membrane, assuming all atoms there average about twice the size of a hydrogen atom?How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.Estimate the number of people in the world who are suffering from the common cold on any given day. (Remember that a person suffers from a cold for about a week, and assume that the average person catches a cold twice a year. The population of Earth is approximately seven billion.) O 10² O 105 O 108 O 10¹3
- A typical sugar cube has an edge length of 1 cm. If you had a cubical box that contained a mole of sugar cubes, what would its edge length be?Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole.)The tidal lung volume of human breathing, representing the amount of air inhaled and exhaled in a normal breath, is 500 cm3. (Assume atmospheric pressure.) (a) What is the number of molecules of air inhaled with each human breath when the air temperature is 27.0°C?
- A hollow spherical container has an outer diameter of 10.50 cm. The thickness of the walls is 0.50 cm. The container is filled with water. Water molecules are approximated to be spheres with a diameter of 275 pm. How many water molecules are present inside of the container? Your answer needs to have the correct number of significant figures.Assume that a man is mostly made up of water. If the mass of the person is 55 kg and that of the water molecule is 29.9 x 10-27 kg, estimate the number of molecules of the personAvagadro's number (6.023 × 1023) is a pure (unitless) number which serves as a good standard for measuring the number of molecules in ideal gases at STP. A)What is the volume, in cubic kilometers, of Avogadro’s number of sand grains, if each grain is a cube with an edge length of 1.3 mm and the cubes are densely packed (with no air between them). B) How long, in kilometers, would a beach have to be for this sand to cover it to a depth of 10.0 m? Assume a beach is 100.0 m wide, and you can neglect the air spaces between the grains.
- Two containers of equal volume each hold samples of the same ideal gas. Container A has 3 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.For an ideal gas in constant volume if you double the temperature ( T2= 2 T1), what is the new pressure ( P2=?)Problem 5: Any ideal gas at standard temperature and pressure (STP) has a number density (atoms per unit volume) of p = N/V = 2.68 × 1025 m²3. How many atoms are there in 11 cubic micrometers, at STP? N =| atoms