The greenland ice sheet is thought to affect or be affected...

The Greenland ice sheet is thought to affect (or be affected by) climate in the North Atlantic and Europe and is currently more than 100,000 years old. The sheet is of the order of 2400x1100 km in surface area and 2.5 km deep. If the energy imbalance to the sheet is such that it is getting a net of 250 watts/m2 energy coming in, how long will it take for it to melt? The heat of fusion of water is 334 J/g. a. About 1 century, 100 years b. Another 100,000 years c. Only a year d. 1000 years

Transcript

00:01 In this question you have got a green light ice key which is given to you the dimensions as it is 2 ,400 kilometer wide and you can say the spread of red that is a length of it is 1 ,000 kilometer and the depth of that ice sheet is 2 .5 kilometers so we know that the global warming is causing the melting of ice ice so let us assume that the solar energy falling on the ice surface is 250 watt per meter square.

00:40 The question that they've asked you to find out is, is the latent heat of fusion of water.

00:46 That means the amount of heat that you require to melt to one gram of ice is 334 june.

00:57 So if the latin feet of fusion of ice is 334 juice per gram, how much time would it take to melt the total ice? i hope my question is clear.

01:11 So now let us understand how to find out the solution for the question.

01:15 So if you want to melt the total ice here, the amount of mass of ice that you have is equal to density of ice multiplied with the volume, which is equal to the dimensions of the ice.

01:30 And they've already given you what is the dimension.

01:33 So let us substitute that.

01:35 And we know that ice is 9606 .6 .8 kenthe per meter cube, multiplied with the volume, which is 1 ,000 km that is multiplied with 10 to the 5 3, because we need to convert it into meters, multiplied with 2 ,400 multiplied with 10 to the part 3.

01:57 Multiplied with 2 .5, multiplied with 10 to the parsley.

02:02 So this is the total mass of ice that we have and we need to melt that...

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