The isomolecular pairs are those that have identical molecular shapes due to similar electron domain geometries. In this set:
- \(\mathrm{XeO}_3\) and \(\mathrm{H}_3\mathrm{O}^+\) both have trigonal pyramidal shapes.
- \(\mathrm{SO}_3\) and \(\mathrm{CO}_3^{2-}\) both have trigonal planar shapes.
At STP \(x\) g of a metal hydrogen carbonate (MHCO$_3$) (molar mass \(84 \, {g/mol}\)) on heating gives CO$_2$, which can completely react with \(0.02 \, {moles}\) of MOH (molar mass \(40 \, {g/mol}\)) to give MHCO$_3$. The value of \(x\) is:
If the roots of $\sqrt{\frac{1 - y}{y}} + \sqrt{\frac{y}{1 - y}} = \frac{5}{2}$ are $\alpha$ and $\beta$ ($\beta > \alpha$) and the equation $(\alpha + \beta)x^4 - 25\alpha \beta x^2 + (\gamma + \beta - \alpha) = 0$ has real roots, then a possible value of $y$ is: