Suppose, however, that Balance # 2 which is off by 0.5000 g because it had not been calibrated, was used.
1. The initial reading would have been 0.5000 g lower at 26.2587 g. The final reading would also have been lowered by the same amount. Thus, the final reading would have been 24.2423 g.
2. Calculate the mass of the sample poured into the flask.
a. Initial reading =
b. Final reading =
3. Mass of sample transferred (calculated by difference) =

Let's work through the problem step by step using the new data provided.

### Given:
- **Balance #2 is off by 0.5000 g** (lower than the actual value)
- **Adjusted initial reading** = \(26.2587 \, \text{g}\)
- **Adjusted final reading** = \(24.2423 \, \text{g}\)

### Calculation:
1. **Mass of the sample poured into the flask:**
   - This is calculated by subtracting the final reading from the initial reading.

   \[
   \text{Mass of sample transferred} = \text{Initial reading} - \text{Final reading}
   \]

   \[
   \text{Mass of sample transferred} = 26.2587 \, \text{g} - 24.2423 \, \text{g} = 2.0164 \, \text{g}
   \]

### Answer:
- **Initial reading** = \(26.2587 \, \text{g}\)
- **Final reading** = \(24.2423 \, \text{g}\)
- **Mass of sample transferred (calculated by difference)** = \(2.0164 \, \text{g}\)

Despite the incorrect calibration of Balance #2, the mass difference remains the same because both readings (initial and final) were offset by the same amount. 

Would you like further details or have any questions?

Here are some related questions:
1. Why does the incorrect calibration of Balance #2 not affect the calculated mass difference?
2. How can systematic errors, like an uncalibrated balance, impact experimental results?
3. What steps should be taken to ensure that all balances used in an experiment are properly calibrated?
4. How would you correct the measurements if you knew the exact error in calibration?
5. What is the difference between systematic and random errors in measurement?

**Tip:** Always double-check the calibration of measuring instruments before starting an experiment to avoid systematic errors.

Explore how incorrect calibration of Balance #2 affects measurement accuracy. Learn the steps to calculate the correct mass despite calibration errors. This problem involves measurement concepts and error analysis in practical scenarios. Suitable for advanced high school students.

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