Answer :
To convert from Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32; for Fahrenheit to Celsius, subtract 32 and multiply by 0.555 (or 5/9). The conversions result in -237°C equaling -394.6°F, 99.0°F equaling 37.2°C, and 125 K equaling -234.4°F.
To convert temperatures between scales, one must use the appropriate conversion formulas. The conversion from degrees Celsius (">">">°C">) to degrees Fahrenheit (">">">°F">) is done by using the formula: T°F = (1.8 × T°C) + 32. Conversely, to convert from degrees Fahrenheit to degrees Celsius, the formula T°C = 0.555 × (T°F - 32) is employed.
(a) To convert -237 ">× to °F, we use the equation:
T°F = (1.8 × (-237)) + 32
= (-426.6) + 32
= -394.6°F
(b) To convert 99.0°F to °C, we apply the formula:
T°C = 0.555 × (99.0 - 32)
= 0.555 × 67
= 37.2°C
(c) To convert 125 K to °F, first convert to °C using K = °C + 273. Then, convert °C to °F:
125 K = 125 - 273 = -148°C
Now convert -148°C to °F:
T°F = (1.8 × (-148)) + 32
= (-266.4) + 32
= -234.4°F
(a) To convert -237°C to °F, the result is -394.6°F.
(b) To convert 99.0°F to °C, the result is 37.2°C.
(c) To convert 125 K to °F, the result is -216.4°F.
To convert temperatures between Celsius, Fahrenheit, and Kelvin, we need to use the appropriate formulas. Here are the answers for the given conversions:
(a) Convert -237°C to °F:
Use the formula °F = (°C × 9/5) + 32.
Plugging in the values:
°F = (-237 × 9/5) + 32
°F = -426.6 + 32
°F = -394.6°F
(b) Convert 99.0°F to °C:
Use the formula °C = (°F - 32) × 5/9.
Plugging in the values:
°C = (99.0 - 32) × 5/9
°C = 67 × 5/9
°C = 37.2°C
(c) Convert 125 K to °F:
First, convert Kelvin to Celsius using the formula °C = K - 273.
°C = 125 - 273
°C = -148
Next, convert °C to °F using the formula °F = (°C × 9/5) + 32.
°F = (-148 × 9/5) + 32
°F = -248.4 + 32
°F = -216.4°F
