
The stability of alkenes is generally determined by the number of $\alpha$-hydrogens ($\alpha\text{H}$) (hyperconjugation) and minimized steric repulsion ($\text{trans}$ $>$ $\text{cis}$).
$\text{A} (1-\text{Butene})$: $2 \alpha\text{H}$ (Monosubstituted).
$\text{B} (\text{cis}-2-\text{Butene})$: $6 \alpha\text{H}$ ($\text{cis}$).
$\text{C} (\text{trans}-2-\text{Butene})$: $6 \alpha\text{H}$ ($\text{trans}$).
$\text{D} (\text{isobutene})$: $6 \alpha\text{H}$ (Di-substituted terminal).
Standard stability order: $\text{A}>\text{D}>\text{C}>\text{B}$. (Di-substituted is more stable than Mono-substituted).
Consider the following reaction sequence.
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 ___________.
Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.