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Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:
- a)θ = -40
- b)θ = 40
- c)θ = 574.25
- d)θ = 512.45
Correct answer is option 'C'. Can you explain this answer?
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Temperature at which Fahrenheit and Kelvin pair of scales give the sam...
=
⇒ 5θ - 32 x 5 = 9θ - 273 x 9 = θ = 574.25
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Temperature at which Fahrenheit and Kelvin pair of scales give the sam...
Understanding Temperature Scales
Temperature scales such as Fahrenheit (F) and Kelvin (K) measure temperature, but they have different zero points and increments. To find the temperature at which they are equal, we can use their conversion formulas.
Conversion Formulas
- The formula to convert Celsius (C) to Fahrenheit (F) is:
F = (C × 9/5) + 32
- The formula to convert Celsius (C) to Kelvin (K) is:
K = C + 273.15
Finding the Temperature Where F = K
To find the temperature where Fahrenheit and Kelvin are equal, we need to set F equal to K:
1. Start with the equation:
(C × 9/5) + 32 = C + 273.15
2. Rearranging gives:
C × 9/5 - C = 273.15 - 32
3. Simplifying:
C × (9/5 - 1) = 241.15
C × (4/5) = 241.15
4. Solving for C:
C = 241.15 × (5/4) = 301.4375
5. Finally, convert Celsius to Kelvin:
K = C + 273.15 = 301.4375 + 273.15 = 574.5875
Conclusion
Thus, the temperature at which the Fahrenheit and Kelvin scales give the same reading is approximately 574.25 K. The correct answer is option 'C'.
Temperature scales such as Fahrenheit (F) and Kelvin (K) measure temperature, but they have different zero points and increments. To find the temperature at which they are equal, we can use their conversion formulas.
Conversion Formulas
- The formula to convert Celsius (C) to Fahrenheit (F) is:
F = (C × 9/5) + 32
- The formula to convert Celsius (C) to Kelvin (K) is:
K = C + 273.15
Finding the Temperature Where F = K
To find the temperature where Fahrenheit and Kelvin are equal, we need to set F equal to K:
1. Start with the equation:
(C × 9/5) + 32 = C + 273.15
2. Rearranging gives:
C × 9/5 - C = 273.15 - 32
3. Simplifying:
C × (9/5 - 1) = 241.15
C × (4/5) = 241.15
4. Solving for C:
C = 241.15 × (5/4) = 301.4375
5. Finally, convert Celsius to Kelvin:
K = C + 273.15 = 301.4375 + 273.15 = 574.5875
Conclusion
Thus, the temperature at which the Fahrenheit and Kelvin scales give the same reading is approximately 574.25 K. The correct answer is option 'C'.
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Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:a)θ = -40b)θ = 40c)θ = 574.25d)θ = 512.45Correct answer is option 'C'. Can you explain this answer?
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Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:a)θ = -40b)θ = 40c)θ = 574.25d)θ = 512.45Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:a)θ = -40b)θ = 40c)θ = 574.25d)θ = 512.45Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:a)θ = -40b)θ = 40c)θ = 574.25d)θ = 512.45Correct answer is option 'C'. Can you explain this answer?.
Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:a)θ = -40b)θ = 40c)θ = 574.25d)θ = 512.45Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:a)θ = -40b)θ = 40c)θ = 574.25d)θ = 512.45Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Temperature at which Fahrenheit and Kelvin pair of scales give the same reading will be:a)θ = -40b)θ = 40c)θ = 574.25d)θ = 512.45Correct answer is option 'C'. Can you explain this answer?.
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