The RMS velocity (\(v_{{rms}}\)) of one mole of an ideal gas was measured at different temperatures and the following graph is obtained. What is the slope (m) of the straight line?
The volume of an ideal gas contracts from 10.0 L to 2.0 L under an applied pressure of 2.0 atm. During contraction, the system also evolved 90 J of heat. The change in internal energy (in J) involved in the system is (1 L·atm = 101.3 J):
The graph shown below represents the variation of probability density, \( \Psi(r) \), with distance \( r \) of the electron from the nucleus. This represents:
The number of \( d \) electrons in Fe is equal to which of the following?(i) Total number of \( s \)-electrons of Mg(ii) Total number of \( p \)-electrons of Cl (iii) Total number of \( p \)-electrons of Ne
Which of the following orders are correct regarding their covalent character?(i) \( \text{KF} < \text{KI} \)(ii) \( \text{LiF} < \text{KF} \)(iii) \( \text{SnCl}_2 < \text{SnCl}_4 \)(iv) \( \text{NaCl} < \text{CuCl} \)
The density of \(\beta\)-Fe is 7.6 g/cm\(^3\). It crystallizes in a cubic lattice with \( a = 290 \) pm. What is the value of \( Z \)? (\( Fe = 56 \) g/mol, \( N_A = 6.022 \times 10^{23} \) mol\(^{-1}\))
Arrange the following in the increasing order of number of unpaired electrons present in the central metal ion: I. \([MnCl_6]^{4-}\) II. \([FeF_6]^{3-}\) III. \([Mn(CN)_6]^{3-}\) IV. \([Fe(CN)_6]^{3-}\)