We appreciate your visit to In 1986 a gargantuan iceberg broke away from the Ross Ice Shelf in Antarctica It was approximately a rectangle 160 km long 40 0 km. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The mass of the iceberg is approximately 1.4672 x 10^15 kg, with a heat transfer of 4.900608 x 10^20 J needed to melt it. Using sunlight at 100 W/m^2 for 12 hours a day, it would take roughly 48.5 years to melt the iceberg.
Explanation:
To calculate the mass of the iceberg, we need to use the volume and the density of ice. First, let's convert all measurements to meters to be consistent with the density unit:
- Length: 160 km = 160,000 m
- Width: 40 km = 40,000 m
- Thickness: 250 m
The volume V is therefore:
V = Length × Width × Thickness = 160,000 m × 40,000 m × 250 m = 1.6 x 1012 m³.
The mass m can be calculated using the density ρ of ice (917 kg/m³):
m = V × ρ = 1.6 x 1012 m³ × 917 kg/m³ = 1.4672 x 1015 kg.
To calculate the heat transfer needed to melt the iceberg, we need the latent heat of fusion for ice, which is about 334,000 J/kg:
Heat Q = mass × latent heat of fusion = 1.4672 x 1015 kg × 334,000 J/kg = 4.900608 x 1020 J.
For the amount of time it would take sunlight to melt the iceberg, assuming an absorption of 100 W/m² and 12 hours of sunlight per day, first calculate the total power absorbed by the iceberg:
Total Area Absorbing Sunlight = Length × Width = 160,000 m × 40,000 m = 6.4 x 109 m².
Power P = Total Area × Absorption Rate = 6.4 x 109 m² × 100 W/m² = 6.4 x 1011 W.
The daily energy absorption is Power × Time:
Energy per day = 6.4 x 1011 W × 12 h × 3600 s/h = 2.7648 x 1016 J/day.
Finally, to find the years it would take:
Years = Total Heat Required / (Energy per day × Days per year)
= 4.900608 x 1020 J / (2.7648 x 1016 J/day × 365 days/year)
≈ 48.5 years.
Thanks for taking the time to read In 1986 a gargantuan iceberg broke away from the Ross Ice Shelf in Antarctica It was approximately a rectangle 160 km long 40 0 km. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
