AS Chemistry Energetics

The temperature changed from 21.8 °C to 19.2 °C during a calorimetry
experiment.
The uncertainty of each reading of the thermometer is ±0.1 °C
What is the percentage uncertainty in the temperature change?

Answer is 7.7%

How do I work this out?

Reply 1

stilllearning123

16

Original post by Elz19

The temperature changed from 21.8 °C to 19.2 °C during a calorimetry
experiment.
The uncertainty of each reading of the thermometer is ±0.1 °C
What is the percentage uncertainty in the temperature change?
Answer is 7.7%
How do I work this out?

To calculate the percentage uncertainty in the temperature change, here’s how to approach it:

1.

Find the temperature change: The initial temperature is 21.8°C, and the final temperature is 19.2°C. So, the temperature change is: 21.8°C−19.2°C=2.6°C21.8°C - 19.2°C = 2.6°C21.8°C−19.2°C=2.6°C.

2.

Determine the uncertainty: The uncertainty in each thermometer reading is ±0.1°C. Since two readings are involved (the initial and final temperatures), the uncertainties add up. Therefore, the total uncertainty is: 0.1°C+0.1°C=0.2°C0.1°C + 0.1°C = 0.2°C0.1°C+0.1°C=0.2°C.

3.

Calculate the percentage uncertainty: Now, to find the percentage uncertainty, divide the total uncertainty (0.2°C) by the temperature change (2.6°C) and multiply by 100: 0.2°C2.6°C×100=7.7%\frac{0.2°C}{2.6°C} \times 100 = 7.7\%2.6°C0.2°C×100=7.7%.

This gives a percentage uncertainty of 7.7%.
btw I used chat gpt for this, you can too but obviously don't use it to cheat, only to explain

Reply 2

Elz19

OP

4

Original post by stilllearning123

To calculate the percentage uncertainty in the temperature change, here’s how to approach it:

1.

Find the temperature change: The initial temperature is 21.8°C, and the final temperature is 19.2°C. So, the temperature change is: 21.8°C−19.2°C=2.6°C21.8°C - 19.2°C = 2.6°C21.8°C−19.2°C=2.6°C.

2.

Determine the uncertainty: The uncertainty in each thermometer reading is ±0.1°C. Since two readings are involved (the initial and final temperatures), the uncertainties add up. Therefore, the total uncertainty is: 0.1°C+0.1°C=0.2°C0.1°C + 0.1°C = 0.2°C0.1°C+0.1°C=0.2°C.

3.

Calculate the percentage uncertainty: Now, to find the percentage uncertainty, divide the total uncertainty (0.2°C) by the temperature change (2.6°C) and multiply by 100: 0.2°C2.6°C×100=7.7%\frac{0.2°C}{2.6°C} \times 100 = 7.7\%2.6°C0.2°C×100=7.7%.

This gives a percentage uncertainty of 7.7%.
btw I used chat gpt for this, you can too but obviously don't use it to cheat, only to explain

Ohhh, okay thank you!

AS Chemistry Energetics

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