At $ T(K) $, the $ P, V $ and $ u_{\text{rms}} $ of 1 mole of an ideal gas were measured. The following graph is obtained. What is its slope ($ m $)? (x-axis = $ PV $; y-axis = $ u_{\text{rms}}^2 $; $ M $ = Molar mass)

In which of the following pairs, both molecules possess dipole moment?

Three layers of liquid are flowing over a fixed solid surface as shown below. The correct order of velocity of liquid in these layers is:

A flask contains 98 mg of H₂SO₄. If $ 3.01 \times 10^{20} $ molecules of H₂SO₄ are removed from the flask, the number of moles of H₂SO₄ remaining in the flask is ($ N = 6.02 \times 10^{23} $):

Identify the correct equation relating $ \Delta H $, $ \Delta U $, and $ \Delta T $ for 1 mole of an ideal gas (R = gas constant):

The number of extensive properties in the following list is: Enthalpy, density, volume, internal energy, temperature.

The equilibrium constant for the dissociation of HI at 773 K is:

The values of $ a $ and $ b $ in the solubility product equation for barium phosphate are:

The de Broglie wavelength of an electron with kinetic energy of $ 2.5 $ eV is (in m): \[ (1 \text{ eV} = 1.6 \times 10^{-19} \text{ J}, \quad m_e = 9 \times 10^{-31} \text{ kg}) \]

Two statements are given below:
Statement I: Nitrogen has more ionization enthalpy and electronegativity than beryllium.
Statement II:$ CrO_3 $, $ B_2O_3 $ are acidic oxides.
Correct answer is:

Hydrated sodium aluminum silicate is called:

The ratio of ground state energy of $ \text{Li}^{2+}, \text{He}^{+}, \text{H} $ is:

Consider the following standard electrode potentials ($E^\circ$ in volts) in aqueous solution: \includegraphics[]{135.png} Based on this data, which of the following statements is correct?

At $ T(K) $ for one mole of an ideal gas, the graph of $ P $ (on y-axis) and $ V^{-1} $ (on x-axis) gave a straight line with slope of $ 32.8 $ L atm mol$^{-1} $. What is the temperature (in K)? $(R = 0.0821 \text{ L atm mol}^{-1} \text{ K}^{-1})$

Which of the allotropic forms of carbon is aromatic in nature?