4. the specific heat capacity of the egg is about 3.3 j/g·°c, and the specific heat capacity of the water is…

4. the specific heat capacity of the egg is about 3.3 j/g·°c, and the specific heat capacity of the water is about 4.2 j/g·°c. if the egg and the water have the same mass, did the eggs temperature or the waters temperature change more during the 10 minutes? assume the system is isolated. explain.

4. the specific heat capacity of the egg is about 3.3 j/g·°c, and the specific heat capacity of the water is about 4.2 j/g·°c. if the egg and the water have the same mass, did the eggs temperature or the waters temperature change more during the 10 minutes? assume the system is isolated. explain.

Answer

Answer:

The egg's temperature changed more.

Explanation:

Step1: Recall heat - transfer formula

$Q = mc\Delta T$, where $Q$ is heat, $m$ is mass, $c$ is specific - heat capacity, and $\Delta T$ is temperature change.

Step2: Since $m$ and $Q$ are the same

For the egg ($Q_{egg}=m_{egg}c_{egg}\Delta T_{egg}$) and for water ($Q_{water}=m_{water}c_{water}\Delta T_{water}$). Given $m_{egg}=m_{water}$ and $Q_{egg}=Q_{water}$ (isolated system), we have $c_{egg}\Delta T_{egg}=c_{water}\Delta T_{water}$.

Step3: Compare specific - heat capacities

$c_{egg}=3.3\ J/g\cdot^{\circ}C$ and $c_{water}=4.2\ J/g\cdot^{\circ}C$. Since $c_{egg}<c_{water}$, from $c_{egg}\Delta T_{egg}=c_{water}\Delta T_{water}$, we can conclude that $\Delta T_{egg}>\Delta T_{water}$.