Question

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?

Answer 1

The final temperature of the block is $27.5^{\circ} C$

Explanation:

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

$Q=mC_s \Delta T$

where:

m is the mass of the substance

$C_s$ is the specific heat capacity of the substance

In this problem, we have:

m = 1.2 kg is the mass of the block

$Q = 2,130 J$ is the amount of energy supplied to the block

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

Solving for $\Delta T$, we find the increase in temperature:

$\Delta T = \frac{Q}{m C_s}=\frac{2130}{(1.2)(710)}=2.5^{\circ}C$

And since the initial temperature was

$T_i = 25^{\circ}C$

The final temperature will be

$T_f = T_i + \Delta T = 25+2.5=27.5^{\circ} C$

Learn more about specific heat capacity:

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