Radioactive decay of granite and other rocks in earth's interior provides sufficient energy to keep the interior molten, to heat lava, and to provide warmth to natural hot springs. this is due to the average release of about 0.03 j per kilogram each year.

find an increase in temperature for a thermally insulated chunk of granite that takes about 12.5 million years to change temperature. (assume that the specific heat capacity c of granite is 800 j/kg⋅c∘. use the equation q=cmδt.)

Explanation:

The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.

Q = Heat absorbed

Given : heat released in 1 year = 0.03 J/kg

heat released in 12.5 million years=

m= mass of substance = 1 kg

c = specific heat capacity =

Initial temperature of the water =

Final temperature of the water =

Change in temperature ,

Putting in the values, we get:

The increase in temperature for a thermally insulated chunk of granite is

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz

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