Question

A block of alloy with a mass of 19.56g and a temperature of 21.25 Celsius is placed in a calorimeter containing 50.00g of methanol at 95.56 Celcius. If the final temperature of the alloy and methanol is 63.35 Celcius, calculate the specific heat capacity of the metal. The specific heat capacity of methanol is 2.48 JK-1g-1. Ignore the heat capacity of the container.

I got 4.86 as the answer, but the textbook says is 4.36....

Answer 1

Heat lose of methanol                    =                       Heat gain of alloy

mcT                                         =                         mcT

50*2.48*(95.56-63.35)                 =                  19.56*c*(63.35-21.25)

   c    = 4.85J/g-K

the specific heat capacity of the alloy is 4.85J/g-K

4.85J/g-K is correct answer.