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
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- Three measurements for the boiling point of water are 100.4 °C, 100.1 °C, and 100.0 °C. The accepted boiling point is 100.0 °C. (a) What are the estimated digits? The estimated digits are (b) How many figures are certain? figures are certain in each measurement. and respectively.(a) What is the volume (in km3) of Avogadro’s number of sand grains if each grain is a cube and has sides that are 1.0 mm long? (b) How many kilometers of beaches in length would this cover if the beach averages 100 m in width and 10.0 m in depth? Neglect air spaces between grains.The volume of an automobile tire is 2.5x10^-2m^3. The pressure of the air in the tire is 3.3 atm and the temperature is 25C°. What is the mass of air in grams? The mean molecular mass of air is 29g. Calculate to 2 decimals.
- 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 25.0°C? molecules (b) If the molar mass of air is 28.96 g/mol, what is the mass (in g) of air molecules inhaled with each breath? (Assume the air temperature is 25.0°C.) g (c) It has been calculated that all of the air in Earth's atmosphere could be collected into a sphere of diameter 1,999 km at a pressure of 1.00 atm. What is the mass (in kg) of the air in Earth's atmosphere? (Assume the density of air used in this calculation was 1.225 kg/m³.) kg (d) If all 7 billion humans on Earth inhaled simultaneously, what percentage of the atmosphere would be inhaled during this process? (Assume the air temperature is 25.0°C everywhere on Earth.) %A typical bathroom sink faucet releases about two gallons of water every minute. a) If it takes you 2.5 minutes to brush your teeth and you leave the water run for the entire time, how much water would be used? b) If you only run the water for 30 seconds, how much water would be used?A patient’s temperature was 97.0 °F at 8:05 A.M. and 103.4 °F at 12:05 P.M. If the temperature change with respect to elapsed time was linear throughout the day, what would the patient’s temperature be at 3:35 P.M.? answer in Farehnheit
- This was wrong. Can you solve this again with these numbers? What is the root mean square velocity, vrms, for Hydrogen molecules (H2) at 20oC? Hint: How many amu does an H2 molecule contain. 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)Still think that unit conversion isn't important? Here is a widely publicized, true story about how failing to convert units resulted in a huge loss. In 1998, the Mars Climate Orbiter probe crashed into the surface of Mars, instead of entering orbit. The resulting inguiry revealed that NASA navigators had been making minor course corrections in SI units, whereas the software written by the probe's makers implicitly used British units. In the United States, most scientists use Sl units, whereas most engineers use the British, or Imperial, system of units. (Interestingly, British units are not used in Britain.) For these two groups to be able to communicate to one another, unit conversions are necessary. The unit of force in the SI system is the newton (N), which is defined in terms of basic Sl units as 1 N=1 kg · m/s?. The unit of force in the British system is the pound (lb), which is defined in terms of the slug (British unit of mass), foot (ft), and second (s) as 1 lb =1 slug ·…the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?
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