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In the determination of the specific heat of a metal, what is the relationship b

ID: 1062887 • Letter: I

Question

In the determination of the specific heat of a metal, what is the relationship between the size of the specific heat of the metal, and the final temperature? For a metal with a larger specific heat (like Al) would tf be larger, smaller, or the same as for a metal with a smaller specific heat (like Pb), all else being held constant? Either with a sample calculation , algebraically, or with a complete explanation, say what effect this difference would have on the final temperature, tf.

Recall:

Water t calorimeter t qmetal 0 S water mwater (tf -ti Coal (tf -ti ts metal mmetal (tf ti)) 0

Explanation / Answer

For a metal with larger specific heat capacity, the change in temperature must be lower, since it can "contain" more heat per unit °C

this can be prooved with the equation...

If all values are constant but "S metal"

then

increasing Smetal must lower Tf-Ti difference