To solve the question regarding the assertion and reason about the basicity of N,N-Diethyl ethanamine and N,N-Dimethyl methanamine, we can follow these steps:
### Step-by-Step Solution:
1. **Identify the Compounds**:
- The assertion states that N,N-Diethyl ethanamine is more basic than N,N-Dimethyl methanamine.
- N,N-Diethyl ethanamine has two ethyl (C2H5) groups, while N,N-Dimethyl methanamine has two methyl (CH3) groups.
2. **Understand Basicity in Amines**:
- Basicity in amines is influenced by the ability of the nitrogen atom to donate its lone pair of electrons.
- The more electron density on the nitrogen, the more basic the amine will be.
3. **Consider the Inductive Effect**:
- The basicity of amines is affected by the +I (positive inductive) effect of the alkyl groups attached to the nitrogen.
- Alkyl groups are electron-donating, which increases the electron density on the nitrogen atom.
4. **Compare the +I Effect of Ethyl and Methyl Groups**:
- The ethyl group (C2H5) has a greater +I effect compared to the methyl group (CH3).
- This is because the ethyl group is larger and has more carbon atoms, which can donate more electron density to the nitrogen.
5. **Evaluate the Assertion**:
- Since N,N-Diethyl ethanamine has two ethyl groups, it will have a higher electron density on the nitrogen compared to N,N-Dimethyl methanamine, which has two methyl groups.
- Therefore, N,N-Diethyl ethanamine is indeed more basic than N,N-Dimethyl methanamine.
6. **Evaluate the Reason**:
- The reason given states that the +I effect of the ethyl group is more than that of the methyl group. This is correct as established in the previous step.
7. **Conclusion**:
- Both the assertion and the reason are true, and the reason correctly explains the assertion.
- Therefore, the final answer is that both the assertion and reason are true, and the reason is the correct explanation for the assertion.
### Final Answer:
Both the assertion and reason are true, and the reason is the correct explanation for the assertion.
