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If the boiling point of water is 95^(@)F...

If the boiling point of water is `95^(@)F`, what will be reduction at celsius scale?

A

`7^(@)C`

B

`65^(@)C`

C

`63^(@)C`

D

`35^(@)C`

Text Solution

AI Generated Solution

The correct Answer is:
To find the reduction in the Celsius scale when the boiling point of water is given as 95°F, we can follow these steps: ### Step 1: Understand the conversion formula The formula to convert Fahrenheit (°F) to Celsius (°C) is: \[ °C = \frac{5}{9} (°F - 32) \] ### Step 2: Substitute the given value We know the boiling point of water is 95°F. We will substitute this value into the formula: \[ °C = \frac{5}{9} (95 - 32) \] ### Step 3: Calculate the difference First, calculate \(95 - 32\): \[ 95 - 32 = 63 \] ### Step 4: Multiply by \(\frac{5}{9}\) Now, substitute this difference back into the formula: \[ °C = \frac{5}{9} \times 63 \] ### Step 5: Perform the multiplication Calculating \(\frac{5 \times 63}{9}\): \[ 5 \times 63 = 315 \] Now divide by 9: \[ \frac{315}{9} = 35 \] ### Step 6: Conclusion Thus, the boiling point of water at 95°F corresponds to 35°C. Therefore, the reduction at the Celsius scale is: \[ \text{Reduction} = 100°C - 35°C = 65°C \] ### Final Answer The reduction at the Celsius scale is 65°C. ---
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