# Problem: If 100. J of heat energy are added to separate 50.0 g samples of gold (specific heat = 0.129 J g−1 °C−1), silver (specific heat = 0.234 J g−1 °C−1), aluminum (specific heat = 0.895 J g−1 °C−1), chromium (specific heat = 0.450 J g−1 °C−1), and copper (specific heat = 0.377 J g−1 °C−1), all at the same initial temperature, rank the metals in order from lowest to highest final temperature.(A) Au &lt; Ag &lt; Al &lt; Cr &lt; Cu (B) Al &lt; Cr &lt; Cu &lt; Ag &lt; Au(C) Cr &lt; Cu &lt; Al &lt; Ag &lt; Au (D) Au &lt; Ag &lt; Cu &lt; Cr &lt; Al(E) none of these – all final temperatures would be equal

###### FREE Expert Solution

Analyze each specific heat and determine which one of the given substances will have the highest temperature after being heated for a certain amount of time.

The relation between the amount of heat absorbed or released by a substance and the change in temperature is:

where

84% (139 ratings) ###### Problem Details

If 100. J of heat energy are added to separate 50.0 g samples of gold (specific heat = 0.129 J g−1 °C−1), silver (specific heat = 0.234 J g−1 °C−1), aluminum (specific heat = 0.895 J g−1 °C−1), chromium (specific heat = 0.450 J g−1 °C−1), and copper (specific heat = 0.377 J g−1 °C−1), all at the same initial temperature, rank the metals in order from lowest to highest final temperature.

(A) Au < Ag < Al < Cr < Cu

(B) Al < Cr < Cu < Ag < Au

(C) Cr < Cu < Al < Ag < Au

(D) Au < Ag < Cu < Cr < Al

(E) none of these – all final temperatures would be equal