Temperature Analysis from Cooling Curve Graph

ChemistryCalorimetry and Cooling CurvesEasySTEM

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What is the initial temperature ($^\circ C$) of the solution?

22.5

What is the final temperature ($^\circ C$) of the solution?

This question includes visual content: A Cartesian coordinate system graph. The y-axis is labeled 'Temperature (degrees Celsius)' ranging from 20 to 45. The x-axis is labeled 'Time (s)' ranging from -120 to 600. Several black data points are plotted. Before time $t=0$, there are points at approximately $-60s$ and $-30s$ with temperature around $22.5^\circ C$. At $t=30s$, the temperature jumps to approximately $43^\circ C$. From $t=30s$ to $t=330s$, data points show a cooling trend, with a red line of best fit drawn through them. After $t=360s$, the temperature plateaus and remains constant at approximately $37.5^\circ C$ or $38^\circ C$ until $t=600s$.

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Step by Step Written Solution

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Step 1

In this problem, we need to analyze a temperature versus time graph from a calorimetry experiment to determine the initial and final temperatures of a solution.

Calorimetry Data Analysis

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Step 2

Let's start with the initial temperature. Look at the data points before the reaction begins, which is the time before zero seconds.

1. Initial Temperature ($T_i$)

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Step 3

We can see data points at negative sixty and negative thirty seconds. These points are located halfway between twenty and twenty-five degrees Celsius on the vertical axis.

Baseline before reaction
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Step 4

The value exactly in the middle of twenty and twenty-five is twenty-two point five degrees Celsius. This represents the stable temperature of the solution before mixing.

$$T_{initial} = 22.5\, ^\circ\text{C}$$
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Step 5

Now, let's determine the final temperature. In calorimetry, the final temperature is often determined by extrapolating the cooling curve back to the time of mixing, which is time zero.

2. Final Temperature ($T_f$)

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About This Question

Subject
Chemistry
Topic
Calorimetry and Cooling Curves
Difficulty
Easy
Exam
STEM
Question Type
Open Ended

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