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Answer :
Final Answer:
a) 69°C is equivalent to 156.2°F and 342.15 K. b) -29°F is equivalent to -33.9°C and 239.15 K. c) 111 K is equivalent to -162.15°C and -259.87°F.
Explanation:
To convert temperatures between Celsius (C), Fahrenheit (F), and Kelvin (K), you can use the following formulas:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
[tex]\[ K = C + 273.15 \][/tex]
For the given values:
a) 69°C
[tex]\[ F = \frac{9}{5} \times 69 + 32 = 156.2°F \][/tex]
[tex]\[ K = 69 + 273.15 = 342.15 K \][/tex]
b)-29°F
[tex]\[ C = \frac{5}{9} \times (-29 - 32) = -33.9°C \][/tex]
[tex]\[ K = -33.9 + 273.15 = 239.15 K \][/tex]
c)111 K
C = 111 - 273.15 = -162.15°C
[tex]F = \frac{9}{5} \times (-162.15) + 32 = -259.87°F \][/tex]
These conversions are essential for comparing temperatures in different units and are frequently used in various scientific and everyday contexts. Understanding these relationships allows for effective communication of temperature values across different measurement systems.
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Final answers:
Temperature conversion:
a) 69°C is equivalent to 156.2°F and 342.15 K.
b) -29°F is equal to -33.89°C and 239.26 K.
c) 111 K is equal to -162.15°C and -259.07°F.
Explanation:
In the first part of the question, to convert Celsius to Fahrenheit, we can use the formula F = (C × 9/5) + 32. Plugging in 69 for C, we get F = (69 × 9/5) + 32, which simplifies to 156.2°F. To convert Celsius to Kelvin, we add 273.15 to the Celsius temperature, resulting in 342.15 K for 69°C.
For the second part, converting Fahrenheit to Celsius involves using the formula C = (F - 32) × 5/9. Substituting -29 for F, we get C = (-29 - 32) × 5/9, which equals -33.89°C. To convert Fahrenheit to Kelvin, we use the formula K = (F + 459.67) × 5/9, resulting in 239.26 K for -29°F.
In the final part, to convert Kelvin to Celsius, we subtract 273.15 from the Kelvin temperature, yielding -162.15°C for 111 K. To convert Kelvin to Fahrenheit, we use the formula F = (K × 9/5) - 459.67, which gives us -259.07°F for 111 K.
Temperature conversion formulas vary based on the scales used. Understanding these formulas is crucial for accurate conversions between Celsius, Fahrenheit, and Kelvin.
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