Explanation:
As it is known that relation between specific heat and heat energy is as follows.
Q = [tex]mC \Delta T[/tex]
where, Q = heat energy
m = mass
C = specific heat capacity = 4.18 [tex]J/g ^{o}C[/tex]
[tex]\Delta T[/tex] = change in temperature
Therefore, putting the given values into the above formula as follows.
Q = [tex]mC \Delta T[/tex]
= [tex]10 g \times 4.18 J/g ^{o}C \times (16.2 - 14.1)^{o}C[/tex]
= 87.78 J
Thus, we can conclude that the heat energy needed to raise the temperature of 10.00 g of liquid water from [tex]14.1^{o}C[/tex] to [tex]16.2^{o}C[/tex] is 87.78 J.