Let's tackle these temperature conversions step by step, using the formulas provided:
Convert 25°C to Fahrenheit:
Use the formula for Celsius to Fahrenheit: °F = °C × 5 9 + 32
Substitute 25 for °C : °F = 25 × 5 9 + 32 = 45 + 32 = 77 °F
So, 25 °C is equal to 77 °F .
Convert 98.6°F to Celsius:
Use the formula for Fahrenheit to Celsius: °C = ( °F − 32 ) × 9 5
Substitute 98.6 for °F : °C = ( 98.6 − 32 ) × 9 5 = 66.6 × 9 5 ≈ 37 °C
So, 98.6 °F is equal to 37 °C .
Convert 300 K to Celsius:
Use the formula for Kelvin to Celsius: °C = K − 273.15
Substitute 300 for K : °C = 300 − 273.15 = 26.85 °C
So, 300 K is equal to 26.85 °C .
Convert -40°C to Fahrenheit:
Use the formula for Celsius to Fahrenheit: °F = °C × 5 9 + 32
Substitute − 40 for °C : °F = − 40 × 5 9 + 32 = − 72 + 32 = − 40 °F
Interestingly, − 40 °C is also − 40 °F .
Convert 212°F to Kelvin:
First, convert Fahrenheit to Celsius: °C = ( °F − 32 ) × 9 5
Substitute 212 for °F : °C = ( 212 − 32 ) × 9 5 = 180 × 9 5 = 100 °C
Now, convert Celsius to Kelvin: K = °C + 273.15
Substitute 100 for °C : K = 100 + 273.15 = 373.15 K
So, 212 °F is equal to 373.15 K .
These calculations are typical for temperature conversions in physics, helping to understand the relationships between different temperature scales.