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55 kJ of heat are added to 200 kg of a metal at 28.00◦C and the temperature rises to 29.18◦C. What was the metal? 1. copper (specific heat = 0.385 J/g · ◦ C) 2. tungsten (specific heat = 0.134 J/g · ◦ C) 3. lead (specific heat = 0.127 J/g · ◦ C) 4. silver (specific heat = 0.233 J/g · ◦ C)

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joc0916

Answer:

The metal was silver.

Explanation:

We need to remember the equation for specific heat (C) that relate heat (Q), mass (m) and temperature (T) as:[tex]Q=m*C*(T_{f}-T_{i} )[/tex]. Then we need to calculate for every single metal their change of temperature as:[tex]Q=m*C*(T_{f}-T_{i})= 55000=200000*0.385*(T_{f}-28)= T_{f(copper)}=28.71C[/tex],[tex]Q=m*C*(T_{f}-T_{i})= 55000=200000*0.134*(T_{f}-28)= T_{f(tungsten)}=30.05C[/tex],[tex]Q=m*C*(T_{f}-T_{i})= 55000=200000*0.127*(T_{f}-28)= T_{f(lead)}=30.16C[/tex], and [tex]Q=m*C*(T_{f}-T_{i})= 55000=200000*0.233*(T_{f}-28)= T_{f(silver)}=29.18C[/tex], so the last one it's the same temperature that was given to find and the metal was silver.

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