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Chemistry · Grades 10–12

Linear calibration with a blank

Subtract the intercept or blank first, then divide by the slope. Use the model only within its stated calibration range.

Make a worksheet

Rule and assumptions

Subtract the intercept or blank first, then divide by the slope. Use the model only within its stated calibration range.

c = (S − b)/m for S = mc + b

Worked examples

A supplied valid-range calibration is S = 13c + 0.5. The signal is 6.1. Find c in the calibration's arbitrary concentration units. Round to 3 decimal places if needed.

c = (S − b)/m for S = mc + b (6.1 − 0.5)/13 = 0.431

0.431

A supplied valid-range calibration is S = 7c + 0.8. The signal is 4.1. Find c in the calibration's arbitrary concentration units. Round to 3 decimal places if needed.

c = (S − b)/m for S = mc + b (4.1 − 0.8)/7 = 0.471

0.471

Try two questions

  1. A supplied valid-range calibration is S = 5c + 0.7. The signal is 5.4. Find c in the calibration's arbitrary concentration units. Round to 3 decimal places if needed.

  2. A supplied valid-range calibration is S = 7c + 0.2. The signal is 4.1. Find c in the calibration's arbitrary concentration units. Round to 3 decimal places if needed.

Answers and reasoning

Answers and marking notes
  1. 0.94

    c = (S − b)/m for S = mc + b (5.4 − 0.7)/5 = 0.94

  2. 0.557

    c = (S − b)/m for S = mc + b (4.1 − 0.2)/7 = 0.557

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.