OSearch the web.. y Ch 10 HW-Google Cheome Secure https//sessionumasteringastron

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OSearch the web.. y Ch 10 HW-Google Cheome Secure https//sessionumasteringastronomy offset-nextBassignmentProblemiD 16639287 H Problems 10.5 previous 20 of 29 ned Problems 10.5 Part A The mass of the Martian atmosphere is about 1/150 the mass of Earth's atmosphere and is composed mainly (95 percent) of carbon dioxide is approxlimately 5.0x10 kg estmate the total mass of carton diexide ih fhe atmosphere of Mars Given that the mass of Eart's atmospher. is apprei inately 5,0 x Express your answer using two significant figures kg eine ? moo kg My Answers Slee Part B Compare your answer with the mass of a seasonal polar cap. approximated as a crcular sheet of frozen carton dioxide (ndly ios" huning a density of 1600 kg/m of diameer 3000 kn and ickness 1 Express your answer ssing two significant figures Type here to search

Explanation / Answer

Given

mass of martian atmosphere is about 1/150 mass of Earth's atmosphere

mass of Earth's atmosphere is mE = 5*10^18 kg

first mass of the mars atmosphere is mM= (1/150)(5*10^18) = 3.333*10^16 kg

PArt A)

mass of carbon dioxide is 95% of mM, mCO2 = 95*3.333*10^16/100 kg = 3.16635*10^16 kg

PArt B

density of solid carbon dioxide or dry ice is d = 1600 kg/m3

in the region of circular sheet with diameter D = 3000 km = 3*10^6 m thickness is t = 1 m

we know that the density is by definition

d = mass/volume

mass = d*volume

here volume is Area*thickness = pi*r^2*t = pi(1.5*10^6)^2*1 kg/m3 = 7.0686*10^12 kg/m3

mass mCO2_dry = 1600*7.0686*10^12 kg = 1.130976*10^16 kg

ratio is mCO2/mCO2_dry = (3.16635*10^16)/(1.130976*10^16) = 2.7997

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