a wooden block has a mass of 1.2 kg, a specific heat of 710, and is at a temperature of 25*C. what is the block's final temperature if it's thermal energy increases by 2,130J?

The amount of thermal energy Q supplied to a substance is related to the increase in temperature of the substance, [tex]\Delta T[/tex], according to the equation

[tex]Q=mC_s \Delta T[/tex]

where:

m is the mass of the substance

[tex]C_s[/tex] is the specific heat capacity of the substance

In this problem, we have:

m = 1.2 kg is the mass of the block

[tex]Q = 2,130 J[/tex] is the amount of energy supplied to the block

[tex]C_s = 710 J/kg^{\circ}C[/tex] is the specific heat capacity of the block

Solving for [tex]\Delta T[/tex], we find the increase in temperature:

[tex]\Delta T = \frac{Q}{m C_s}=\frac{2130}{(1.2)(710)}=2.5^{\circ}C[/tex]

And since the initial temperature was

[tex]T_i = 25^{\circ}C[/tex]

The final temperature will be

[tex]T_f = T_i + \Delta T = 25+2.5=27.5^{\circ} C[/tex]

Learn more about specific heat capacity:

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