At \(T(K)\), the rms velocity of methane is \(x \, {ms}^{-1}\). What is the kinetic energy (in J) of 8 g of methane at the same temperature(Assume methane as an ideal gas)
Kc for the reaction \[ A(g) \rightleftharpoons T(K) + B(g) \] is 39.0. In a closed one-litre flask, one mole of \( A(g) \) was heated to \( T(K) \). What are the concentrations of \( A(g) \) and \( B(g) \) (in mol L\(^{-1}\)) respectively at equilibrium?
Two long straight parallel conductors A and B carrying currents 4.5 A and 8 A respectively are separated by 25 cm in air. The resultant magnetic field at a point which is a distance of 15 cm from conductor A and 20 cm from conductor B is:
If the curves $$ 2x^2 + ky^2 = 30 \quad \text{and} \quad 3y^2 = 28x $$ cut each other orthogonally, then \( k = \)
Which of the following sets are not correctly matched? i. XeF₄ - sp³ii. SF₄ - sp³diii. SO₃ - sp²iv. SnCl₂ - sp
At 293 K, the density of an aqueous solution containing 120 g of urea (NH\(_2\)CONH\(_2\)) per dm\(^3\) is 1.02 kg dm\(^{-3}\). The mole fraction of urea is approximately:
Adsorption of a gas on a solid obeys the Freundlich adsorption isotherm. In the graph drawn between \(\log (x/m)\) (on the y-axis) and \(\log p\) (on the x-axis), the slope and intercept are found to be 1 and 0.3, respectively. If the initial pressure of the gas is 0.02 atm, the mass of the gas adsorbed per gram of solid is (\({antilog } 0.3 = 2\)).