With the rise of temperature, the speed of sound in a gas :

Options

A. increase
B. decreases
C. remains the same
D. None of these

Explanation

To solve the question regarding the effect of temperature on the speed of sound in a gas, we can follow these steps:

### Step 1: Understand the Relationship
The speed of sound in a gas is influenced by several factors, including temperature. The fundamental equation that describes the speed of sound (V) in a gas is given by:

\[ V = \sqrt{\frac{\gamma RT}{M}} \]

Where:
- \( V \) = speed of sound
- \( \gamma \) = ratio of specific heats (Cp/Cv)
- \( R \) = universal gas constant
- \( T \) = absolute temperature (in Kelvin)
- \( M \) = molecular mass of the gas

### Step 2: Analyze the Equation
From the equation, we can see that the speed of sound (V) is directly proportional to the square root of the absolute temperature (T). This means that as the temperature increases, the value of \( T \) increases, which in turn increases the speed of sound.

### Step 3: Conclusion
Since the speed of sound in a gas is directly proportional to the square root of the temperature, we can conclude that:

- **With the rise of temperature, the speed of sound in a gas increases.**

### Final Answer
The correct option is: **Increase.**

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