Answer: the
mass of the sample of metal is
m
=
55
g
.
The change in temperature of the metal is
Δ
T
=
113
∘
C
.
The heat lost by the metal is
Q
=
3
,
500
J
.
Here, we have:
Q
∝
m
Δ
T
Q
=
m
c
Δ
T
, where,
c is the specific heat capacity or proportionality constant.
Substitute the given values in the above formula and simplify it for the required value.
3
,
500
J
=
(
55
g
)
c
(
113
∘
C
)
c
=
3
,
500
J
(
55
g
)
(
113
∘
C
)
c
=
0.56
J
/
g
⋅
∘
C
3,500 J =(55 g)c(
113
∘
C)
c
=
3
,
500
J
(
55
g
)
(
113
∘
C
)
c
=
0.56
J
/
g
⋅
∘
C
Thus, the specific heat is
0.56
J
/
g
⋅
∘
C
0.56
J
/
g
⋅
∘
C
.
Step-by-step explanation: