Answer:
[tex]17.8 J/g^{\circ}C[/tex]
Explanation:
When a certain amount of substance is supplied with a certain amount of energy Q, the temperature of the substance increases according to the equation
[tex]Q=mC\Delta T[/tex]
where
m is the mass of the substance
C is the specific heat capacity
[tex]\Delta T[/tex] is the change in temperature
In this problem:
m = 150.0 g is the mass of wood
Q=67,000 J is the amount of energy supplied to the wood
[tex]\Delta T=55-30=25^{\circ}C[/tex] is the increase in temperature of the substance
Therefore, the specific heat capacity is:
[tex]C=\frac{Q}{m\Delta T}=\frac{67,000}{(150.0)(25)}=17.8 J/g^{\circ}C[/tex]
