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Question
- graphite has a specific heat of 0.709 j/(g·°c). if a 25 gram piece of graphite is cooled from 35 °c to 18 °c. how much energy was lost by the graphite? endothermic or exothermic?
Step1: Calculate the temperature change
The formula for temperature change is $\Delta T=T_{final}-T_{initial}$.
Here, $T_{initial} = 35^{\circ}C$ and $T_{final}=18^{\circ}C$.
So, $\Delta T=18 - 35=- 17^{\circ}C$.
Step2: Use the heat - loss formula
The formula for heat loss (or gain) is $Q = mc\Delta T$, where $m$ is the mass, $c$ is the specific heat capacity, and $\Delta T$ is the temperature change.
Given $m = 25g$, $c=0.709J/(g\cdot^{\circ}C)$, and $\Delta T=-17^{\circ}C$.
Substitute the values into the formula: $Q=(25g)\times(0.709J/(g\cdot^{\circ}C))\times(-17^{\circ}C)$.
First, calculate $25\times0.709 = 17.725$.
Then, $17.725\times(-17)=-301.325J$.
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The energy lost by the graphite is $301.325J$ (the negative sign indicates heat loss). Since heat is released, the process is exothermic.