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to know the specific heat of the metal we have to use this formula q=mc\Delta T
where;
(q)=223.5J
m=17.3g
\Delta T=(42°C - 32°C)
=10°C
Rearrenging the formula to solve for (c):
c=q/m\Delta T
c=223.5J/17.3g×10A°C
c=223.5/173
c=1.29J(gA°C)
so, specific heat of the metal is (1.29\text{J/(g°C)})