A sample of water was heated from `50^(@)C` to 328K. The rise in temperature on the Fahrenheit scale is `"____________"`.

Explanation

To solve the problem of finding the rise in temperature on the Fahrenheit scale when a sample of water is heated from \(50^\circ C\) to \(328 K\), we can follow these steps:

### Step 1: Convert Kelvin to Celsius
To convert the temperature from Kelvin to Celsius, we use the formula:
\[ °C = K - 273 \]
Substituting \(328 K\) into the formula:
\[ °C = 328 - 273 = 55°C \]

### Step 2: Determine the initial and final temperatures in Celsius
The initial temperature \(T_1\) is \(50°C\) and the final temperature \(T_2\) is \(55°C\).

### Step 3: Calculate the change in temperature in Celsius
The change in temperature (\(\Delta T\)) in Celsius is given by:
\[ \Delta T = T_2 - T_1 = 55°C - 50°C = 5°C \]

### Step 4: Convert the change in temperature from Celsius to Fahrenheit
To convert the change in temperature from Celsius to Fahrenheit, we use the formula:
\[ °F = \left( \frac{9}{5} \times °C \right) \]
Substituting \(\Delta T\) into the formula:
\[ °F = \left( \frac{9}{5} \times 5 \right) = 9°F \]

### Final Answer
The rise in temperature on the Fahrenheit scale is \(9°F\).

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