For water \(\Delta_{\text {vap }} \mathrm{H}=41 \mathrm{~kJ} \mathrm{~mol}^{-1}\) at \(373 \mathrm{~K}\) and 1 bar pressure. Assuming that water vapour is an ideal gas that occupies a much larger volume than liquid water, the internal energy change during evaporation of water is \(...... \mathrm{kJ}\, \mathrm{mol}^{-1}\) [Use: \(\left.\mathrm{R}=8.3 \,\mathrm{~J} \,\mathrm{~mol}^{-1}\, \mathrm{~K}^{-1}\right]\)

Accumulation of which of the following molecules in the muscles occurs as a result of vigorous exercise ?

If the solubility product of \(PbS\) is \(8 \times 10^{-28}\), then the solubility of \(PbS\) in pure water at \(298\; K\) is \(x \times 10^{-16}\; mol\; L ^{-1}\). The value of \(x\) is \(\dots\). [Given \(\sqrt2 = 1.41\)]

Which one of the following compounds will not be soluble in sodium bicarbonate ?

Match List-\(I\) with List-\(II\)

List -\(I\) (Molecule)	List - \(II\) (Shape)
\((A)\). \(\mathrm{BrF}_5\)	\((I)\). \(T\)-shape
\((B)\). \(\mathrm{H}_2 \mathrm{O}\)	\((II)\). Sea saw
\((C)\). \(\mathrm{ClF}_3\)	\((III)\). Bent
\((D)\). \(\mathrm{SF}_4\)	\((IV)\). Square pyramidal

Assuming \(1\,\mu\,g\) of trace radioactive element \(X\) with a half life of \(30\) years is absorbed by a growing tree. The amount of \(X\) remaining in the tree after \(100\) years is \(\times 10^{-1}\,\mu\,g\) \([ Given : \ln 10=2.303 ; \log 2=0.30]\)

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields?
A. \(\mathrm{n}=1, \mathrm{l}=0, \mathrm{~m}_1=0\)
B. \(\mathrm{n}=2, \mathrm{l}=0, \mathrm{~m}_1=0\)
C. \(\mathrm{n}=2, \mathrm{l}=1, \mathrm{~m}_1=1\)
D. \(\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=1\)
E. \(\mathrm{n}=3, \mathrm{l}=2, \mathrm{~m}_1=0\)
Choose the correct answer from the options given below:

Let \( y^{2}=12x \) be the parabola with its vertex at O. Let P be a point on the parabola and A be a point on the x-axis such that \( \angle OPA=90^{\circ} \). Then the locus of the centroid of such triangles OPA is :

Acid \(\mathrm{D}\) formed in above reaction is _______.

Match List \(I\) with List \(II\)

List \(I\) (Natural amino acid)	List \(II\) (Code)
\(A\) Glutamic acid	\(I\) \(Q\)
\(B\) Glutamine	\(II\) \(W\)
\(C\) Tyrosine	\(III\) \(E\)
\(D\) Tryptophan	\(IV\) \(Y\)

Consider the following cases of standard enthalpy of reaction \(\left(\Delta \mathrm{H}_{\mathrm{r}}^{\circ}\right.\) in \(\left.\mathrm{kJ} \mathrm{mol}{ }^{-1}\right)\)
\(\mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})+\frac{7}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{CO}_2(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \Delta \mathrm{H}_1^{\circ}=-1550 \)
\( \mathrm{C} \text { (graphite) }+\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g}) \quad \Delta \mathrm{H}_2^{\circ}=-393.5 \)
\( \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \quad \Delta \mathrm{H}_3^{\circ}=-286\)
The magnitude of \(\Delta \mathrm{H}_{f \mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})}^{\circ}\) is _______ \(\mathrm{kJ} \mathrm{mol}{ }^{-1}\) (Nearest integer).

Two resistances are given as \(R _1=(10 \pm 0.5)\,\Omega\) and \(R_2=(15 \pm 0.5)\, \Omega\). The percentage error in the measurement of equivalent resistance when they are connected in parallel is

The self produced \(emf\) of a coil is \(25\,volts\). When the current in it is changed at uniform rate from \(10\,A\) to \(25\, A\) in \(1\,s\), the change in the energy of the inductance is......\(J\)