Question

1. copper has a specific heat of 0.385 j/(g·°c). a piece of copper absorbs 5000 j of energy and undergoes a temperature change from 100 °c to 200 °c. what is the mass of the piece of copper?

Explanation:

Step1: Calculate the temperature change

$\Delta T=T_{final}-T_{initial}=200 - 100=100^{\circ}C$

Step2: Use the heat - mass - specific heat formula

The formula for heat is $Q = mc\Delta T$, where $Q$ is the heat absorbed, $m$ is the mass, $c$ is the specific heat, and $\Delta T$ is the temperature change. We need to solve for $m$, so $m=\frac{Q}{c\Delta T}$.
Substitute $Q = 5000J$, $c=0.385J/(g\cdot^{\circ}C)$ and $\Delta T = 100^{\circ}C$ into the formula:
$m=\frac{5000}{0.385\times100}=\frac{5000}{38.5}\approx129.9g$

Answer:

The mass of the piece of copper is approximately $129.9g$.