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A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is th
A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is the percentage error in the measurement?
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Practice Questions
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Q1
A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is the percentage error in the measurement?
0.5%
1.0%
0.1%
0.2%
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Percentage error = (Absolute error / True value) * 100 = (0.5 / 100.0) * 100 = 0.5%.
Questions & Step-by-step Solutions
1 item
Q
Q: A thermometer reads 100.5 °C when the actual temperature is 100.0 °C. What is the percentage error in the measurement?
Solution:
Percentage error = (Absolute error / True value) * 100 = (0.5 / 100.0) * 100 = 0.5%.
Steps: 6
Show Steps
Step 1: Identify the measured temperature from the thermometer, which is 100.5 °C.
Step 2: Identify the actual temperature, which is 100.0 °C.
Step 3: Calculate the absolute error by subtracting the actual temperature from the measured temperature: 100.5 °C - 100.0 °C = 0.5 °C.
Step 4: Use the formula for percentage error: Percentage error = (Absolute error / True value) * 100.
Step 5: Substitute the values into the formula: Percentage error = (0.5 / 100.0) * 100.
Step 6: Calculate the percentage error: (0.5 / 100.0) = 0.005, then multiply by 100 to get 0.5%.
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