Naturally, raindrops can reduce CO2 emissions in the atmosphere by dissolution of CO2 in the droplets. You are a member

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Naturally Raindrops Can Reduce Co2 Emissions In The Atmosphere By Dissolution Of Co2 In The Droplets You Are A Member 1 (194.95 KiB) Viewed 35 times

Naturally, raindrops can reduce CO2 emissions in the atmosphere by dissolution of CO2 in the droplets. You are a member of a task force that evaluates CO2 emissions in Indonesia, and part of your tasks is to estimate the contribution of the raindrops in capturing the greenhouse gas. To do this, you must formulate and solve an appropriate model that represents the dissolution of CO2 in the droplets. Your team has collected data and listed assumptions that will help you accomplish this task, as follows: ▪ The total land and water area is approximately 5.1 million km² ▪ Indonesia produces an estimate of 500 millions ton of CO2 annually ▪ The average rainfall intensity is 2000 mm/year ▪ The droplet is assumed to be completely spherical with diameter of 6 mm ▪ The droplet is assumed to free-fall from the clouds that produce rain with a distance of 2,5 km from land/water surface ▪ The shape and size of the droplet is assumed to be invariant during the free fall ▪ On average, CO2 mole fraction in the atmosphere is known to be 0.0325% ■ Solubility of CO2 in the droplet is 40 mol.m³.atm-1 ▪ Diffusivity of CO2 in the water is 2.2 x 10-9 m²/s ■ Any mass transfer outside the droplet is neglected Based on the data and assumptions: 1) Formulate a transient model to describe the radial distribution of CO2 concentration in the droplet for the duration of free fall from the cloud to the land/water surface! 2) Assign the suitable boundary conditions for this system! 3) Use the explicit method and either implicit or Crank-Nicholson methods to solve the model in (1) based on the boundary conditions in (2) to produce the plot of concentration as a function of the radius at any given time! Compare the results! 4) Use the result in (3) to estimate the contribution of the raindrop to the reduction of CO2 emission in Indonesia (in % of the total emission)! Note that the total moles of CO₂ in the droplet at any given time can be calculated as follows: N = 4π fr²C (r) dr where R is the radius of the droplet. 5) Based on the assumptions, would you say that the calculated CO2 concentration is underestimated or overestimated? Explain your answer!