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Published byBryan Perry Modified over 9 years ago
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The following lesson is one lecture in a series of Chemistry Programs developed by Professor Larry Byrd Department of Chemistry Western Kentucky University
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PART 3 Temperature Scales
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EXAMPLE FIVE: Convert 12.6 C into F. 1. F = (1.8) ( C) + 32 Write the needed equation you had to learn 2. F = (1.8) (12.6) + 32 Substitute the given value 3. F = 22.68 + 32 Do math Round off 22.68 to the nearest tenth! 4. F = 22.7 + 32 Do math 5. F = 54.7 6. Thus, 12.6 C = 54.7 F
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If we want to convert Fahrenheit readings into Celsius readings, we will need to rearrange the Fahrenheit ( F) equation: 1. F = (1.8) ( C) + 32 Write the needed equation you had to learn 2. (1.8) ( C) + 32 = F First, exchange sides 3. (1.8) ( C) + 32 - 32 = F – 32 Next, subtract 32 from both sides 4. (1.8) ( C) + 32 - 32 = F - 32 Do math 5. (1.8) ( C) = F - 32
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If we want to convert Fahrenheit readings into Celsius readings, we will need to rearrange the Fahrenheit ( F) equation: 6. Divide both sides by 1.8 7. Do math. Notice that the 1.8’s cancel 8. C =
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C = In words, the above equation states that to convert a value given in Fahrenheit into a value in Celsius, we must do the following steps: 1. First subtract 32 from the Fahrenheit reading 2. Next, divide that value by 1.8 3. Then, round-off and give the new value with units of C Study the following examples:
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EXAMPLE SIX: The oral reading for a normal body temperature of a patient is 98.6 F. Convert that value into a Celsius reading. Notice, that we must round-off to the nearest tenth of a degree. 1. C = Write needed equation 2. C =Substitute the given value 3. C = Do division and round-off to the nearest tenth 4. C = 37.0 Give final answer to the nearest tenth, since 98.6 F was to the nearest tenth Thus, 98.6 °F is equal to 37.0 °C
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EXAMPLE SEVEN: Convert -16. F into C: 1. C = Write the needed equation 2. C = Substitute the given value and Do algebraically 3. C = Watch the negative sign! Divide ! 4. C = - 26.6666666 This answer must be rounded off to the nearest whole number since the starting temperature, -16 F, was a whole number 5. C = - 27. C 6. Thus, - 16. F is equal to -27. C
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EXAMPLE EIGHT: Convert 16.69 F into C. [ Round-off to the nearest hundredth of a degree ] 1. C = Write the needed equation 2. C = Substitute the given value. 3. C = Do math, watch signs and Do algebraically! 4. C = - 8.505555 Round-off to the nearest hundredth 5. C = - 8.51 6. Thus, 16.69 F is the equal to -8.51 C.
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EXAMPLE NINE: Convert 75.6 F into K In doing this conversion, we must first convert F into C and then convert the Celsius( C ) value into a Kelvin Value. (A) Convert 75.6 F into C (Starting temperature is to the nearest tenth) 1. C = Write the needed equation 2. C = Substitute the given value and Do algebraically 3. C = Do Math! 4. C = 24.22222 Round-off to the nearest tenth 5. C = 24.2 6. Thus, 75.6 F is equal to 24.2 C.
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EXAMPLE NINE: Convert 75.6 F into K In doing this conversion, we must first convert F into C and then convert the Celsius( C ) value into a Kelvin Value. (B) "NEXT" Convert 24.2 C into Kelvin: 1. K = C + 273.2 Write the needed equation 2. K = 24.2 + 273.2 Substitute the given value 3. K = 297.4 Notice, that the answer was rounded- off to the nearest tenth Thus, 75.6 F is equal to 24.2 C and is also equal to 297.4 K
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