(a) +162 F = 90 C
(b) 90 K
Each 1.8 degree rise in deg F is a 1.0 degree rise in the C or Kelvin Temperature.
(b) 90 K
Each 1.8 degree rise in deg F is a 1.0 degree rise in the C or Kelvin Temperature.
(a) Change in temperature on the Celsius scale:
1. Start with the initial temperature in Fahrenheit and convert it to Celsius using the formula: C = (F - 32) × 5/9.
For the initial temperature of -12.0°F:
C1 = (-12 - 32) × 5/9 = -24 × 5/9 = -13.33°C.
2. Next, convert the final temperature from Fahrenheit to Celsius:
For the final temperature of 150.0°F:
C2 = (150 - 32) × 5/9 = 118 × 5/9 = 65.55°C.
3. Calculate the change in temperature on the Celsius scale by subtracting the initial from the final temperature:
∆C = C2 - C1 = 65.55°C - (-13.33°C) = 78.88°C.
Therefore, the change in temperature on the Celsius scale is 78.88°C.
(b) Change in temperature on the Kelvin scale:
1. Convert the initial temperature from Fahrenheit to Kelvin using the formula: K = (F + 459.67) × 5/9.
For the initial temperature of -12.0°F:
K1 = (-12 + 459.67) × 5/9 = 447.67 × 5/9 = 248.71 K.
2. Convert the final temperature from Fahrenheit to Kelvin:
For the final temperature of 150.0°F:
K2 = (150 + 459.67) × 5/9 = 609.67 × 5/9 = 339.82 K.
3. Calculate the change in temperature on the Kelvin scale by subtracting the initial from the final temperature:
∆K = K2 - K1 = 339.82 K - 248.71 K = 91.11 K.
Therefore, the change in temperature on the Kelvin scale is 91.11 K.