Assertion Total kinetic energy of any gas at temperature T would be `1/2mv_(rms)^(2)`
Reason Translational kinetik energy of any type of gas temperature T would be `3/2`RT of one mole.

Options

A. (a)If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. (b)If both Assertion and Reason are correct but Reason is not the correct explation os Assertion.
C. (c)If Assertionis true bur Reason is false.
D. (d)If Assertion is false but Reason is true.

Explanation

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

### Step-by-Step Solution:

1. **Understanding the Assertion**:
The assertion states that the total kinetic energy of any gas at temperature T is given by the formula:
\[ KE = \frac{1}{2} mv_{\text{rms}}^2 \]
where \( m \) is the mass of the gas particle and \( v_{\text{rms}} \) is the root mean square velocity of the gas particles.

2. **Understanding the Reason**:
The reason states that the translational kinetic energy of any type of gas at temperature T is given by:
\[ KE = \frac{3}{2} RT \]
for one mole of gas, where \( R \) is the universal gas constant and \( T \) is the absolute temperature.

3. **Relating the Two Statements**:
- The total kinetic energy of one mole of gas can also be expressed in terms of the root mean square velocity. For one mole of an ideal gas, the relationship between \( v_{\text{rms}} \) and temperature is given by:
\[ v_{\text{rms}} = \sqrt{\frac{3RT}{M}} \]
where \( M \) is the molar mass of the gas.
- Substituting \( v_{\text{rms}} \) into the kinetic energy formula:
\[ KE = \frac{1}{2} m v_{\text{rms}}^2 = \frac{1}{2} \left(\frac{M}{N_A}\right) \left(\frac{3RT}{M}\right) = \frac{3}{2} RT \]
Here, \( N_A \) is Avogadro's number, which relates the number of molecules in a mole to the mass of the gas.

4. **Conclusion**:
- Both the assertion and the reason are correct.
- However, the reason does not provide a correct explanation for the assertion. The assertion describes the kinetic energy in terms of individual gas particles, while the reason describes the total kinetic energy for one mole of gas.

### Final Answer:
Both the assertion and the reason are correct, but the reason is not a correct explanation of the assertion. Therefore, the answer is **B**.

---