Assertion : If pressure is increased , bulk modulus of gases will increase.
Reason : With increase in pressure , temperature of gases also increases .

Options

A. (a) If both Assertion and Reason are true and the Reason is correctn explanation of the Assertion.
B. (b) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true, but the Reason is false.
D. If Assertion is false but the Reason is true.

Explanation

To solve the question, we will analyze both the assertion and the reason provided.

### Step 1: Understanding the Assertion
The assertion states: "If pressure is increased, the bulk modulus of gases will increase."

- **Bulk Modulus (K)** is a measure of a substance's resistance to uniform compression. It is defined as the ratio of the change in pressure to the fractional change in volume.
- For gases, the bulk modulus is generally considered to be directly proportional to the pressure applied. This means that as the pressure increases, the bulk modulus also increases.

**Conclusion for Step 1**: The assertion is true.

### Step 2: Understanding the Reason
The reason states: "With an increase in pressure, the temperature of gases also increases."

- According to the ideal gas law (PV = nRT), if the volume is held constant and pressure increases, the temperature does not necessarily increase. In fact, if we compress a gas (increase pressure), the temperature can increase due to work done on the gas, but this is not a universal rule applicable to all scenarios.
- In many cases, especially when considering adiabatic processes or when the gas is allowed to expand, the temperature can decrease with an increase in pressure.

**Conclusion for Step 2**: The reason is false.

### Final Conclusion
- The assertion is true: If pressure is increased, the bulk modulus of gases will increase.
- The reason is false: With an increase in pressure, the temperature of gases does not necessarily increase.

Thus, the correct answer is that the assertion is true, but the reason is false.

### Answer:
Assertion is true, Reason is false (Option C).

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