Question

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)

Answer 1

The metal was silver.

Step-by-step explanation:

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