High School

(a) Convert -237 deg C to deg F on the Fahrenheit scale.
(b) Convert 99.0 deg F to deg C on the Celsius scale.
(c) Convert 125 K to deg F on the Fahrenheit scale.

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