Consider two identical iron nails: one nail is heated to 95 °c, the other is cooled to 15 °c. the two nails are placed in a coff

Question

3 years ago

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Consider two identical iron nails: one nail is heated to 95 °c, the other is cooled to 15 °c. the two nails are placed in a coff

ee cup calorimeter and the system is allowed to come to thermal equilibrium. what is the final temperature of the two nails

Mathematics

1 answer:

Angelina_Jolie [31] · Answer 1 · 2022-08-16T08:21:54+03:00

The heat released or absorbed by a substance is calculated through the equation,
H = mcpdT

where H is teh heat,
m is the mass,
Cp is the specific heat, and
dT is the temperature difference

In this item, since both nails are identical, m and cp for both nails are equal such that the equation can be expressed as,
mcp(95 - x) = mcp(x - 15)

where x is the final temperature. Solving for the value of x from the equation derived above will give us a final answer of 55 degrees C.

Answer: 55°