How many years are required for a chunk of thermally insulatedgranite to increas

Question

How many years are required for a chunk of thermally insulatedgranite to increase its temperature by 500 degree Celsius?
radioactive decay of isotopes in granite & other rocks inearth's interior provides sufficient energy to keep the interiormolten, to heat lava & provide warmth to natural hot springs.this is due to an average release of about .03 J of energy perkilogram of granite every year. assume that the specific heatcapacity of granite is 800 J per kg per Celsius degree. consider a1 kg block of granite How many years are required for a chunk of thermally insulatedgranite to increase its temperature by 500 degree Celsius?
radioactive decay of isotopes in granite & other rocks inearth's interior provides sufficient energy to keep the interiormolten, to heat lava & provide warmth to natural hot springs.this is due to an average release of about .03 J of energy perkilogram of granite every year. assume that the specific heatcapacity of granite is 800 J per kg per Celsius degree. consider a1 kg block of granite

Explanation / Answer

so in only one year it gets 0.03 J for 1 kg. the increase in temperature due to this energy is: Q=m*c*T T = Q / (m*c) = 0.03 / (1*800) = 3.75*10-5celcius so in one year it goes this much up. to be able to increase it500 celcius you will need: 500 / 3.75*10-5 =13333333years pretty long time enjoy

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