(3%) Problem 31: In 1986, a gargantuan iceberg broke away from the Ross Ice Shel
ID: 2037500 • Letter: #
Question
(3%) Problem 31: 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 wide, and 250 m thick X 33% Part (a) what is the mass of this iceberg, in kilograms, given that the density of ice is 917 kg/m3? m= 11.47, 10181 Grade Summary Deductions Potential 5% 95% sin0 cos0 tan0 ? ( ) 7 8 9 HOME cotan0 asin acos0 atan0 acotan0 sinh coshO tanh0 cotanhO+ Submissions Attempts remaining: 4 (5% per attempt) detailed view 4 5 6- 5% 0 END Degrees O Radians Degrees 0 BACKSPACE E CLEAR Submit Eini Feedback I give up! Hints: 2 % deduction per hint. Hints remaining: Feedback: 2%deduction per feedback 33% Part (b) How much heat, in joules, must be transferred to the iceberg to melt it? Assume the ice as at 0&Deg;:C, and the latent heat of fusion for water is Lf= 79.8 kcal/kg. × 33% Part (c) How long, in years, would it take sunlight alone to melt ice this thick, if the ice absorbs an average of 100 W/m2, 12.00 h per day?Explanation / Answer
a)
Mass of iceberg
M=pV=917*(160*103)(40*103)(250)
M=1.4672*1015 Kg
b)
Heat required to melt the ice
Q=mLf =(1.4672*1015 )(79.8)(4186)=4.9*1020 J
c)
Energy received from sun per day
Qday=PAt=100*(160*103)(40*103)*(12*60*60)=2.7648*1016 Joules/day
Number of years it takes
N=(4.9*1020)/(365)(2.7648*1016 )
N=48.56 years
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