Get the information you need from a community of experts on IDNLearn.com. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.

wooden block has a mass of 0.2 kg, has a specific heat of 710 J/(kg°C), and is a temperature of 20.0°C.
What is the block’s final temperature if its thermal energy increases by 2130 J?


Sagot :

Answer:

The final temperature is 35 °C.

Explanation:

Given that,

Mass of the wooden block, m = 0.2 kg

The specific heat of the block, c = 710 J/(kg°C)

Initial temperature, [tex]T_i=20^{\circ} C[/tex]

Thermal energy, Q = 2130 J

We need to find the block's final temperature. The thermal energy due to change in temperature is given by :

[tex]Q=mc(T_f-T_i)\\\\T_i\ \text{is initial temperature}\\\\\dfrac{Q}{mc}=(T_f-T_i)\\\\T_f=\dfrac{Q}{mc}+T_i\\\\T_f=\dfrac{2130}{0.2\times 710 }+20\\\\T_f=35^{\circ} C[/tex]

So, the final temperature is 35 °C.