(i) The first ionization enthalpy order for the given elements is correctly stated as \( \text{Na} < \text{Li} < \text{Cl} < \text{F} \). This is supported by the ionization energies (in kJ/mol):
\[\text{Na} \, (496) < \text{Li} \, (520) < \text{Cl} \, (1256) < \text{F} \, (1681)\]
(ii)The order of negative electron gain enthalpy for these elements is also correctly stated as \( \text{Na} < \text{Li} < \text{F} < \text{Cl} \).
The values (in kJ/mol) are:
\[\Delta_{\text{eg}}H : \text{Na} \, (-53), \, \text{Li} \, (-60), \, \text{F} \, (-328), \, \text{Cl} \, (-349)\]
Thus, both statements are true.
The equivalent resistance between the points \(A\) and \(B\) in the given circuit is \[ \frac{x}{5}\,\Omega. \] Find the value of \(x\). 
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.