A solution is to be kept between 68 degree F and 77 degree F . What is the range in temperature in degree celcius , if the Celcius / Farenheit conversion formula is given by F = 9 / 5 C 32 ?

Question

A solution is to be kept between 68 degree F and 77 degree F . What is the range in temperature in degree celcius ,  if the Celcius / Farenheit conversion formula is given by F = 9 / 5 C 32 ?

Answer

Answer

Answer

20 degree C - 25 degree C

Answer

Understanding the Temperature Range
To convert the temperature range from Fahrenheit (°F) to Celsius (°C), we can use the formula:
F = (9/5)C + 32.
Let's break down the conversion process for both 68°F and 77°F.
Step 1: Convert 68°F to Celsius
- Start with the formula:
68 = (9/5)C + 32
- Rearranging gives:
(9/5)C = 68 - 32
- Calculate:
(9/5)C = 36
- Now, multiply both sides by 5/9:
C = 36 * (5/9)
- Result:
C = 20°C
Step 2: Convert 77°F to Celsius
- Using the same formula:
77 = (9/5)C + 32
- Rearranging gives:
(9/5)C = 77 - 32
- Calculate:
(9/5)C = 45
- Now, multiply both sides by 5/9:
C = 45 * (5/9)
- Result:
C = 25°C
Final Temperature Range in Celsius
- The temperature range in degrees Celsius is:
- Lower limit: 20°C
- Upper limit: 25°C
Conclusion
- The acceptable temperature range for the solution in Celsius is between 20°C and 25°C.

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Similar Class 10 Doubts

An iron rod is 2.58m long at 0 degree Celsius. Calculate the length of a brass rod at 0 degree Celsius if the difference between the lengths of the two rods must remain the same at all temperatures (linear expansivity of iron is 1.2*10^-5 and linear expansivity of brass is 1.9*10^-5)?

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Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

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Suggested Free Tests

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An iron rod is 2.58m long at 0 degree Celsius. Calculate the length of a brass rod at 0 degree Celsius if the difference between the lengths of the two rods must remain the same at all temperatures (linear expansivity of iron is 1.210^-5 and linear expansivity of brass is 1.910^-5)?