Find the number of P–O–P (pyrophosphate) bonds present in \(P_4O_8\).

Determine the shape of \(ClF_3\) using VSEPR theory.

List the compounds of Xenon having one lone pair on the central atom.

Write the van der Waals equation and explain the van der Waals isotherm (P–V curve).

Langmuir isotherm

• (A) Multilayer adsorption
• (B) Very high temperature \( \theta \) vs \( P \) curve with intercept
• (C) Very low temperature \( \theta \) vs \( P \) curve with slope
• (D) Reciprocal form gives \( \theta = \dfrac{KP}{1+KP} \)

Find the interplanar spacing \(d_{hkl}\) (in Å) using Bragg’s law.

Given: \(n = 1\), \(\lambda = 1.54\,Å\)

Use Bragg’s law: \(n\lambda = 2d\sin\theta\).

For the reaction: \[ N_2O_3(g) \rightarrow NO(g) + NO_2(g) \]
If the degree of dissociation is \(\alpha = 0.2\), find \(\Delta n_g\) and total number of moles at equilibrium (starting with 1 mole).

The radioactive decay is given as: \[ {}^{238}_{92}U \rightarrow {}^{210}_{82}Pb + 7\alpha + x\beta^{-}. \]
Find the value of \(x\).

Among the following compounds of Xenon, identify those having exactly one lone pair on Xenon:
\(XeF_2\), \(XeO_2F_2\), \(XeO_3\), \(XeO_3F_2\), \(XeOF_2\).

Isothermal compressibility of an ideal gas \[ -\frac{1}{V}\left(\frac{dV}{dP}\right)_T \]
is equal to

• (A) \(\dfrac{nR}{P}\)
• (B) \(nR\)
• (C) \(R\)
• (D) \(\dfrac{1}{P}\)

Which of the following has the highest melting point?

• (A) LiBr
• (B) NaBr
• (C) MgBr\(_2\)
• (D) AlBr\(_3\)

Compare the M–C bond length in the following complexes:
\(Na_2[Mn(CO)_4]\), \quad \(Na[Mn(CO)_5]\), \quad \(Na[Mn(CO)_6]\).

Given \(C_p = a + bT\)
\(a = 19.5\), \quad \(b = 0.042\), \quad \(n = 1\) mole

Temperature changes from \(27^\circ C\) to \(327^\circ C\).

Find \(\Delta H\).

T-shape geometry is shown by

• (A) XeF\(_2\)
• (B) SO\(_2\)
• (C) IO\(_4^-\)
• (D) BrF\(_3\)

Which of the following has tetrahedral coordination?

• (A) CdI\(_2\)
• (B) CsCl
• (C) ZnS (sphalerite)
• (D) ZnS (wurtzite)