<h3>The equation</h3>
4.94 x c . (Tm-23.6)=C.(23-6-21.9)+123.13 x c. (23.6-21.9)
<h3>Further explanation
</h3>
The law of conservation of energy can be applied to heat changes, ie the heat received/absorbed is the same as the heat released
Q in = Q out
Heat can be calculated using the formula:
Q = mc∆T
A calorimeter is a device used to measure the specific heat of material
A metal is put into a calorimeter that contains water and there will be heat transfer:

m = metal
w = water
T = the final temperature of the mixture
mass of metal =(Nickel) = 4.94 g
mass of calorimeter = 12.5 g
mass of water = 123.13 g (135.63 - 12.5)
The equation
Q released (metal) = Q absorbed(calorimeter+water)
- Qmetal = 4.94 x c . (Tm-23.60)
- Q calorimeter = C.(23-6-21.9) --> C = heat capacity of calorimeter
- Q water = 123.13 x c. (23.6-21.9)
The equation :
4.94 x c . (Tm-23.6)=C.(23-6-21.9)+123.13 x c. (23.6-21.9)
Empirical formula of the compound is the simplest ratio of components making up the compound.
In 100 g there’s 87.1 g of Ag and 12.9 g of S.
Let’s calculate for 100 g of the compound
Ag S
Mass 87.1 g 12.9 g
Moles. 87.1 /107.8 g/mol 12.9/32 g/mol
=0.8 mol =0.4mol
Divide by the least number of moles
0.8/0.4 =2 0.4/0.4=1
Ratio of Ag to S is 2:1
Therefore empirical formula is Ag2S
Resolution of the attached issue .
Hope this helps!