A solution is to be kept between `40^(@) C and 60^(@)C `. What is the range of temperature in farhenheit if Celcius-farhenheit conversion formual is : `F= (9)/(5) C + 32`

Explanation

To find the range of temperature in Fahrenheit corresponding to the Celsius range of 40°C to 60°C, we will use the conversion formula:

\[ F = \frac{9}{5}C + 32 \]

### Step-by-Step Solution:

1. **Identify the Range in Celsius**:
The given range in Celsius is:
\[ 40°C < C < 60°C \]

2. **Convert the Lower Bound (40°C) to Fahrenheit**:
Substitute \( C = 40 \) into the conversion formula:
\[ F = \frac{9}{5}(40) + 32 \]
Calculate:
\[ F = \frac{9 \times 40}{5} + 32 = \frac{360}{5} + 32 = 72 + 32 = 104°F \]

3. **Convert the Upper Bound (60°C) to Fahrenheit**:
Substitute \( C = 60 \) into the conversion formula:
\[ F = \frac{9}{5}(60) + 32 \]
Calculate:
\[ F = \frac{9 \times 60}{5} + 32 = \frac{540}{5} + 32 = 108 + 32 = 140°F \]

4. **Write the Final Range in Fahrenheit**:
Combining the results from steps 2 and 3, we find:
\[ 104°F < F < 140°F \]

### Final Answer:
The range of temperature in Fahrenheit is:
\[ (104°F, 140°F) \]