On February 26, 2014, the Scripps Institute recorded a carbon dioxide concentrat

Question

On February 26, 2014, the Scripps Institute recorded a carbon dioxide concentration of 397.38 ppm at the Mauna Loa observatory. Use this concentration, assume STP, and assume ideal gas behavior. Use the U.S. Census Bureau's surface areas of Riverside County and California: 7,206.48 square miles and 155,779.22 square miles, respectively. Assume dry ice has a density of approximately 1,600 kg/m3.

a. How many grams of carbon dioxide are found in 1 m 3 of dry air? How many moles?

b. How many grams of carbon dioxide are present in the volume contained by the Riverside County borders and extending from the surface to 3 m above the surface? How many moles of carbon dioxide is this?

c. How many grams of carbon dioxide are present in the volume contained by California's borders and extending from the surface to 3 m above the surface? How many moles of carbon dioxide is this?

d. If all of the carbon dioxide from (b) underwent deposition to form a perfect cube of dry ice, what would be the dimensions of the cube? For the carbon dioxide from part (c)?

e. How many grams of carbon are present in the answers to parts (b) and (c)? How many grams of oxygen?

Explanation / Answer

a. How many grams of carbon dioxide are found in 1 m 3 of dry air? How many moles?

Mass =Volume*density=1m3*1,600 kg/m3.=600kg

moles of CO2=mass/molar mass=600kg/44kg/kmole=13.64kmoles

b. How many grams of carbon dioxide are present in the volume contained by the Riverside County borders and extending from the surface to 3 m above the surface? How many moles of carbon dioxide is this?

area of Riverside County borders=7,206.48 square miles=(48.891miles)2=(78.68km)2=(78682.44m)2

Volume=area * height=(78682.44m)2 * 3m=6.1E9 * 3m3=1.86E10m3

mass=Volume*Density (perorm calculations as above)

c. How many grams of carbon dioxide are present in the volume contained by California's borders and extending from the surface to 3 m above the surface? How many moles of carbon dioxide is this?

same as above the difference would be the area and resultantly the volume contained by California's borders

d. If all of the carbon dioxide from (b) underwent deposition to form a perfect cube of dry ice, what would be the dimensions of the cube? For the carbon dioxide from part (c)?

mass of CO2 from (b) or (c) underwent deposition=mass/density=volume

e. How many grams of carbon are present in the answers to parts (b) and (c)? How many grams of oxygen?

mass of Carbon in CO2=total mass of CO2in(b)or(c)*12/44

mass of Oxygen in CO2=total mass of CO2 in (b)or(c)*32/44

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