In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an un

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Question: In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an uncertainty of ±0.05 g/cm³. What is the relative error?

Options:

Correct Answer: 4.17%

Solution:

Relative error = (Uncertainty / Measured value) * 100 = (0.05 / 1.2) * 100 = 4.17%.

In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an uncertainty of ±0.05 g/cm³. What is the relative error?

In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an uncertainty of ±0.05 g/cm³. What is the relative error?

Step 1: Identify the measured value of the density, which is 1.2 g/cm³.
Step 2: Identify the uncertainty in the measurement, which is ±0.05 g/cm³.
Step 3: Use the formula for relative error: Relative error = (Uncertainty / Measured value) * 100.
Step 4: Substitute the values into the formula: (0.05 / 1.2) * 100.
Step 5: Calculate the division: 0.05 divided by 1.2 equals approximately 0.04167.
Step 6: Multiply the result by 100 to convert it to a percentage: 0.04167 * 100 equals approximately 4.17%.
Step 7: Conclude that the relative error is 4.17%.

Density Measurement – Understanding how to measure and express the density of a substance, including the significance of uncertainty.
Relative Error Calculation – Calculating the relative error as a measure of the uncertainty in relation to the measured value.