### Conversion of 70 Degrees Fahrenheit to Celsius and Kelvin
Let's start with the first part of the question:
Step 1: Identify the given temperature scale.
- The temperature scale given is Fahrenheit.
Step 2: Convert Fahrenheit to Celsius.
- The formula to convert from Fahrenheit to Celsius is:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
- For a temperature of 70°F:
[tex]\[ \text{Celsius} = (70 - 32) \times \frac{5}{9} \][/tex]
[tex]\[ \text{Celsius} = 38 \times \frac{5}{9} \][/tex]
[tex]\[ \text{Celsius} \approx 21.11^\circ C \][/tex]
Step 3: Convert Fahrenheit to Kelvin.
- The formula to convert from Fahrenheit to Kelvin is:
[tex]\[ \text{Kelvin} = (\text{Fahrenheit} - 32) \times \frac{5}{9} + 273.15 \][/tex]
- For a temperature of 70°F:
[tex]\[ \text{Kelvin} = (70 - 32) \times \frac{5}{9} + 273.15 \][/tex]
[tex]\[ \text{Kelvin} = 38 \times \frac{5}{9} + 273.15 \][/tex]
[tex]\[ \text{Kelvin} \approx 294.26 \, K \][/tex]
Summary:
- The given temperature is 70°F.
- The corresponding temperature in Celsius is approximately 21.11°C.
- The corresponding temperature in Kelvin is approximately 294.26 K.
### Conversion of 175 Degrees Kelvin to Celsius and Fahrenheit
Let's move on to the second part of the question:
Step 1: Identify the given temperature scale.
- The temperature scale given is Kelvin.
Step 2: Convert Kelvin to Celsius.
- The formula to convert from Kelvin to Celsius is:
[tex]\[ \text{Celsius} = \text{Kelvin} - 273.15 \][/tex]
- For a temperature of 175 K:
[tex]\[ \text{Celsius} = 175 - 273.15 \][/tex]
[tex]\[ \text{Celsius} \approx -98.15^\circ C \][/tex]
Step 3: Convert Kelvin to Fahrenheit.
- The formula to convert from Kelvin to Fahrenheit is:
[tex]\[ \text{Fahrenheit} = (\text{Kelvin} - 273.15) \times \frac{9}{5} + 32 \][/tex]
- For a temperature of 175 K:
[tex]\[ \text{Fahrenheit} = (175 - 273.15) \times \frac{9}{5} + 32 \][/tex]
[tex]\[ \text{Fahrenheit} \approx -98.15 \times \frac{9}{5} + 32 \][/tex]
[tex]\[ \text{Fahrenheit} \approx -144.67^\circ F \][/tex]
Summary:
- The given temperature is 175 K.
- The corresponding temperature in Celsius is approximately -98.15°C.
- The corresponding temperature in Fahrenheit is approximately -144.67°F.
In conclusion:
1. The high temperature of 70°F converts to approximately 21.11°C and 294.26 K.
2. The low temperature of 175 K converts to approximately -98.15°C and -144.67°F.
