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2024 National Preliminary physics Topic 31 Free

Thermal expansion, temperature scales and thermometers

Temperature conversion: fahrenheit to celsius · Sub-topic 1

PRELIMINARY STAGE 2024

Contest 37

Winneba SHS: 53 points (Winner)

Armed Forces SHTS: 43 points

Vakpo SHS: 22 points

Contest 38

St. Joseph’s Seminary SHS: 26 points (Winner)

Suhum Senior High Technical School: 22 points

Breman Asikuma SHS: 18 points

Contest 39

Ghana National College: 66 points (Winner)

Nkwatia Presby SHS: 46 points

Nafana Presby SHS: 15 points


QUESTION

Express 23 degrees Fahrenheit in degrees Celsius.

ANSWER: -5°C

SOLUTION:

Using the conversion formula $C = (F - 32) \times \dfrac{5}{9}$:

$C = (23 - 32) \times \dfrac{5}{9}$

$C = -9 \times \dfrac{5}{9}$

$C = -1 \times 5$

$C = -5^\circ\text{C}$


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PRACTICE QUESTIONS

1. QUESTION: Express 77 degrees Fahrenheit in degrees Celsius.

ANSWER: 25°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (77 - 32) \times \dfrac{5}{9}$

$C = 45 \times \dfrac{5}{9}$

$C = 5 \times 5$

$C = 25\ ^\circ\text{C}$


2. QUESTION: Express 59 degrees Fahrenheit in degrees Celsius.

ANSWER: 15°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (59 - 32) \times \dfrac{5}{9}$

$C = 27 \times \dfrac{5}{9}$

$C = 3 \times 5$

$C = 15\ ^\circ\text{C}$


3. QUESTION: Express 95 degrees Fahrenheit in degrees Celsius.

ANSWER: 35°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (95 - 32) \times \dfrac{5}{9}$

$C = 63 \times \dfrac{5}{9}$

$C = 7 \times 5$

$C = 35\ ^\circ\text{C}$


4. QUESTION: Express 113 degrees Fahrenheit in degrees Celsius.

ANSWER: 45.0°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (113 - 32) \times \dfrac{5}{9}$

$C = 81 \times \dfrac{5}{9}$

$C = 9 \times 5$

$C = 45.0\ ^\circ\text{C}$


5. QUESTION: Express 131 degrees Fahrenheit in degrees Celsius.

ANSWER: 55.0°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (131 - 32) \times \dfrac{5}{9}$

$C = 99 \times \dfrac{5}{9}$

$C = 11 \times 5$

$C = 55.0\ ^\circ\text{C}$


6. QUESTION: Express 167 degrees Fahrenheit in degrees Celsius.

ANSWER: 75.0°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (167 - 32) \times \dfrac{5}{9}$

$C = 135 \times \dfrac{5}{9}$

$C = 15 \times 5$

$C = 75.0\ ^\circ\text{C}$


7. QUESTION: Express −13 degrees Fahrenheit in degrees Celsius.

ANSWER: −25°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (-13 - 32) \times \dfrac{5}{9}$

$C = -45 \times \dfrac{5}{9}$

$C = -5 \times 5$

$C = -25\ ^\circ\text{C}$


8. QUESTION: Express 5.0 degrees Fahrenheit in degrees Celsius.

ANSWER: −15°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (5.0 - 32) \times \dfrac{5}{9}$

$C = -27 \times \dfrac{5}{9}$

$C = -3 \times 5$

$C = -15\ ^\circ\text{C}$


9. QUESTION: Express 149 degrees Fahrenheit in degrees Celsius.

ANSWER: 65.0°C

SOLUTION:

$C = (F - 32) \times \dfrac{5}{9}$

$C = (149 - 32) \times \dfrac{5}{9}$

$C = 117 \times \dfrac{5}{9}$

$C = 13 \times 5$

$C = 65.0\ ^\circ\text{C}$