The medicinal thermometer commonly used in homes can be read to Â±0.1Â°F, whereas those in the doctor's office may be accurate to Â±0.1Â°C. Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value: Percent Error = [|true value - Experimental value|/true value]x 100%. The vertical lines indicate absolute value. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9Â°C.

Question

Chemistry

Cherish Larsen

27 February, 21:27

The medicinal thermometer commonly used in homes can be read to Â±0.1Â°F, whereas those in the doctor's office may be accurate to Â±0.1Â°C. Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value: Percent Error = [|true value - Experimental value|/true value]x 100%. The vertical lines indicate absolute value. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9Â°C.

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Danielle Sellers · Answer 1

the percent error expected from each of theses person's body:

in homes:

% E = 0.14267 %

in doctor's office:

% E = 0.257 %

Explanation:

° C = (° F - 32) * (5/9) % E = (| true - exp | / true) * 100 body temp = 38.9 ° C = 102.02 ° F

thermometer used in homes:

⇒ T = 102.02 ° F + / - 0.1 ° F = 102.12 ° F ∧ 101,92 ° F

⇒ T = 102.12 ° F = 38.9555 ° C

⇒ % E = (| 38.9 - 38.9555 |) / 38.9) * 100 = 0.14267 %

in the doctor's oficce:

⇒ T = 38.9 ° C + / - 0.1 ° C = 39 ° C ∧ 38.8 ° C

⇒ % E = ((| 39 - 38.9 |) / 38.9) * 100 = 0.257 %