QuestionConvert temperatures:
1. $79.0^{\circ} \mathrm{F}$ to Celsius.
2. $327^{\circ} \mathrm{C}$ to Fahrenheit.
3. $78.3^{\circ} \mathrm{C}$ to Kelvin.

Studdy Solution

STEP 1

Assumptions1. The temperature in Fahrenheit is $79.0^{\circ} \mathrm{}$ . The temperature in Celsius is $327^{\circ} \mathrm{C}$
3. The temperature in Celsius is $78.3^{\circ} \mathrm{C}$

STEP 2

First, we need to convert the temperature from Fahrenheit to Celsius. We can do this using the formula $C = ( -32) \times \frac{5}{9}$

STEP 3

Now, plug in the given value for the Fahrenheit temperature to calculate the Celsius temperature.
$C = (79.0^{\circ} \mathrm{} -32) \times \frac{5}{9}$

STEP 4

Calculate the Celsius temperature.
$C = (79.0^{\circ} \mathrm{} -32) \times \frac{}{9} =26.1^{\circ} \mathrm{C}$

STEP 5

Next, we need to convert the temperature from Celsius to Fahrenheit. We can do this using the formula $= C \times \frac{9}{5} +32$

STEP 6

Now, plug in the given value for the Celsius temperature to calculate the Fahrenheit temperature.
$=327^{\circ} \mathrm{C} \times \frac{9}{5} +32$

STEP 7

Calculate the Fahrenheit temperature.
$=327^{\circ} \mathrm{C} \times \frac{9}{5} +32 =620.6^{\circ} \mathrm{}$

STEP 8

Finally, we need to convert the temperature from Celsius to Kelvin. We can do this using the formula $K = C +273.15$

STEP 9

Now, plug in the given value for the Celsius temperature to calculate the Kelvin temperature.
$K =78.3^{\circ} \mathrm{C} +273.15$

STEP 10

Calculate the Kelvin temperature.
$K =78.3^{\circ} \mathrm{C} +273.15 =351.45 \mathrm{K}$ So, the temperature outside is $26.^{\circ} \mathrm{C}$ , the melting point of pure lead is $620.6^{\circ} \mathrm{}$ , and the boiling point of ethanol is $351.45 \mathrm{K}$ .

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QuestionConvert temperatures:
1. $79.0^{\circ} \mathrm{F}$ to Celsius.
2. $327^{\circ} \mathrm{C}$ to Fahrenheit.
3. $78.3^{\circ} \mathrm{C}$ to Kelvin.

Studdy Solution

STEP 1

Assumptions1. The temperature in Fahrenheit is $79.0^{\circ} \mathrm{}$ . The temperature in Celsius is $327^{\circ} \mathrm{C}$
3. The temperature in Celsius is $78.3^{\circ} \mathrm{C}$

STEP 2

First, we need to convert the temperature from Fahrenheit to Celsius. We can do this using the formula $C = ( -32) \times \frac{5}{9}$

STEP 3

Now, plug in the given value for the Fahrenheit temperature to calculate the Celsius temperature.
$C = (79.0^{\circ} \mathrm{} -32) \times \frac{5}{9}$

STEP 4

Calculate the Celsius temperature.
$C = (79.0^{\circ} \mathrm{} -32) \times \frac{}{9} =26.1^{\circ} \mathrm{C}$

STEP 5

Next, we need to convert the temperature from Celsius to Fahrenheit. We can do this using the formula $= C \times \frac{9}{5} +32$

STEP 6

Now, plug in the given value for the Celsius temperature to calculate the Fahrenheit temperature.
$=327^{\circ} \mathrm{C} \times \frac{9}{5} +32$

STEP 7

Calculate the Fahrenheit temperature.
$=327^{\circ} \mathrm{C} \times \frac{9}{5} +32 =620.6^{\circ} \mathrm{}$

STEP 8

Finally, we need to convert the temperature from Celsius to Kelvin. We can do this using the formula $K = C +273.15$

STEP 9

Now, plug in the given value for the Celsius temperature to calculate the Kelvin temperature.
$K =78.3^{\circ} \mathrm{C} +273.15$

STEP 10

Calculate the Kelvin temperature.
$K =78.3^{\circ} \mathrm{C} +273.15 =351.45 \mathrm{K}$ So, the temperature outside is $26.^{\circ} \mathrm{C}$ , the melting point of pure lead is $620.6^{\circ} \mathrm{}$ , and the boiling point of ethanol is $351.45 \mathrm{K}$ .

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QuestionConvert temperatures: 1. 79.0∘F79.0^{\circ} \mathrm{F}79.0∘F to Celsius. 2. 327∘C327^{\circ} \mathrm{C}327∘C to Fahrenheit. 3. 78.3∘C78.3^{\circ} \mathrm{C}78.3∘C to Kelvin.

Studdy Solution

STEP 1

Assumptions1. The temperature in Fahrenheit is 79.0∘79.0^{\circ} \mathrm{}79.0∘ . The temperature in Celsius is 327∘C327^{\circ} \mathrm{C}327∘C3. The temperature in Celsius is 78.3∘C78.3^{\circ} \mathrm{C}78.3∘C

STEP 2

First, we need to convert the temperature from Fahrenheit to Celsius. We can do this using the formulaC=(−32)×59C = ( -32) \times \frac{5}{9}C=(−32)×95​

STEP 3

Now, plug in the given value for the Fahrenheit temperature to calculate the Celsius temperature.C=(79.0∘−32)×59C = (79.0^{\circ} \mathrm{} -32) \times \frac{5}{9}C=(79.0∘−32)×95​

STEP 4

Calculate the Celsius temperature.C=(79.0∘−32)×9=26.1∘CC = (79.0^{\circ} \mathrm{} -32) \times \frac{}{9} =26.1^{\circ} \mathrm{C}C=(79.0∘−32)×9​=26.1∘C

STEP 5

Next, we need to convert the temperature from Celsius to Fahrenheit. We can do this using the formula=C×95+32 = C \times \frac{9}{5} +32=C×59​+32

STEP 6

Now, plug in the given value for the Celsius temperature to calculate the Fahrenheit temperature.=327∘C×95+32 =327^{\circ} \mathrm{C} \times \frac{9}{5} +32=327∘C×59​+32

STEP 7

Calculate the Fahrenheit temperature.=327∘C×95+32=620.6∘ =327^{\circ} \mathrm{C} \times \frac{9}{5} +32 =620.6^{\circ} \mathrm{}=327∘C×59​+32=620.6∘

STEP 8

Finally, we need to convert the temperature from Celsius to Kelvin. We can do this using the formulaK=C+273.15K = C +273.15K=C+273.15

STEP 9

Now, plug in the given value for the Celsius temperature to calculate the Kelvin temperature.K=78.3∘C+273.15K =78.3^{\circ} \mathrm{C} +273.15K=78.3∘C+273.15

STEP 10

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QuestionConvert temperatures:
1. $79.0^{\circ} \mathrm{F}$ to Celsius.
2. $327^{\circ} \mathrm{C}$ to Fahrenheit.
3. $78.3^{\circ} \mathrm{C}$ to Kelvin.

Assumptions1. The temperature in Fahrenheit is $79.0^{\circ} \mathrm{}$ . The temperature in Celsius is $327^{\circ} \mathrm{C}$
3. The temperature in Celsius is $78.3^{\circ} \mathrm{C}$

First, we need to convert the temperature from Fahrenheit to Celsius. We can do this using the formula $C = ( -32) \times \frac{5}{9}$

Now, plug in the given value for the Fahrenheit temperature to calculate the Celsius temperature.
$C = (79.0^{\circ} \mathrm{} -32) \times \frac{5}{9}$

Calculate the Celsius temperature.
$C = (79.0^{\circ} \mathrm{} -32) \times \frac{}{9} =26.1^{\circ} \mathrm{C}$

Next, we need to convert the temperature from Celsius to Fahrenheit. We can do this using the formula $= C \times \frac{9}{5} +32$

Now, plug in the given value for the Celsius temperature to calculate the Fahrenheit temperature.
$=327^{\circ} \mathrm{C} \times \frac{9}{5} +32$

Calculate the Fahrenheit temperature.
$=327^{\circ} \mathrm{C} \times \frac{9}{5} +32 =620.6^{\circ} \mathrm{}$

Finally, we need to convert the temperature from Celsius to Kelvin. We can do this using the formula $K = C +273.15$

Now, plug in the given value for the Celsius temperature to calculate the Kelvin temperature.
$K =78.3^{\circ} \mathrm{C} +273.15$