Question

A piece of aluminum with a mass of 30 grams was heated in a steam jacket to 98 oC and then plunged into 120 grams of water at 9 oC, causing the temperature to rise to 13.5 oC. What is the specific heat of aluminum

Answer 1

Let specific heat capacity of water $=4.184J/g/K$

Heat lost $=30×c(98-13.5)$

$=2583c$

Heat gained $=120×4.184(13.5-9)$

$=2259.36$

$2583c=2259.36$

$c=0.8747J/g/K$