A 4.82g sample of iron is heated to 84.3 C. A 1.25 g sample of gold is heated to 95.1 C. Both of these metals are added to 9.47 g of cold water that is initally at 14.5 C. a) From the first law of thermodynamics, what is the equation relating the sum of heats of two components? b) Algebraically substitute in the specific heat capacites for the metal and water, the masses of the samples, and the temperature change (see problem 7.) c) Solve the algebraic problem (b) for the Tp the final temperature of water.
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7. A 4.82g sample of iron is heated to 84.3 C. A 1.25 g sample of gold is heated to 95.1 C. Both of these metals are added to 9.47 g of cold water that is initally at 14.5 C.
a) From the first law of
b) Algebraically substitute in the specific heat capacites for the metal and water, the masses of the samples, and the temperature change (see problem 7.)
c) Solve the algebraic problem (b) for the Tp the final temperature of water.
d) Determine the final temperature of the metals in water. Hint: it's the same for all three components.
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