# Now suppose the entire volume

Question 9: a) Some water has frozen in a gutter. The gutter is a cylinder that has a 3 inch diameter and is 8 feet long. If this volume of ice starts to melt, how much heat energy, in Joules, does it take to raise the temperature of the ice from −7 ◦C to 0◦C? The density of ice is 916.9kg/m3 .b) Now that the ice is at 0◦C, how much heat does it take to melt all of the ice into liquid water at 0◦C? c) Finally, how much heat does it take to raise the temperature of the liquid water by 7 more degrees C? Assume the specific heat of water is 4186 J/kg◦C.

Question 10: a) Now suppose the entire volume of the gutter from Question 9 is filled with water which is flowing at a rate of 40 cm3 per second through the gutter. The gutter is connected to a drip irrigation system and splits into six tubes, each going to a different tree. Each of the irrigation tubes is 1 cm in diameter. What is the flow rate through a single irrigation tube in milliliters per second? b) What is the velocity of water through a single irrigation tube in cm/s?

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