The formula of a metal oxide is M0.96 O1. The fractions of metal that exists as M3+and M2+ ions in that oxide are respectively
0.083, 0.916
0.916, 0.083
0.88,0.12
0.12, 0.88
The correct option is: (A): 0.083, 0.916.
The given metal oxide has the formula M0.96O1, indicating that there is a slight deficiency of the metal. This implies that the metal can exist in multiple oxidation states.
Since the oxide formula is M0.96O1, the ratio of metal ions to oxygen ions is not exactly 1:1. This suggests the presence of both M3+ and M2+ ions to balance the charges.
To justify the answer:
Fraction of M3+ ions: Since there is a slight deficiency of metal, indicating the presence of a higher oxidation state, the fraction of M3+ ions is lower. The difference between the ideal ratio of 1:1 and the actual composition indicates the fraction of M3+ ions: (1 - 0.96) = 0.04.
Fraction of M2+ ions: The remaining metal ions must be in the M2+ oxidation state. The difference between the ideal ratio and the M2+ fraction can be calculated as 1 - 0.04 = 0.96. So, the fractions of M3+ and M2+ ions are approximately 0.04 and 0.96
A parallel plate capacitor with plate area \(A\) and plate separation \(d = 2\) m has a capacitance of \(4\mu F\). The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant \(K = 3\) (as shown in the figure) will be:
A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of \( 60^\circ \) by a force of 10 N parallel to the inclined surface. When the block is pushed up by 10 m along the inclined surface, the work done against frictional force is:
[Given: \( g = 10 \) m/s\( ^2 \), \( \mu_s = 0.1 \)]
Minerals are the naturally occurring, homogeneous inorganic solid substances. They are having a definite chemical composition and crystalline structure, hardness and color. For example, copper pyrite, calamine, etc.
Impurities in an ore are called gauge. The removal of a gauge from the ore is called concentration ore.
Several steps are involved in the extraction of pure metal from ores. Major steps are as follows –