Step 1: Recall properties of ideal solutions.
For an ideal solution:
- Enthalpy of mixing, \( \Delta H_{mixing} = 0 \)
- Volume of mixing, \( \Delta V_{mixing} = 0 \)
- Raoult's law is obeyed.
Step 2: Entropy consideration.
Entropy of mixing, \( \Delta S_{mixing} \), is not zero because mixing always leads to an increase in disorder.
Step 3: Conclusion.
Therefore, the correct answer is (C) \( \Delta S_{mixing} = 0 \), which is not satisfied by an ideal solution.
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: