IIT-JEE Exam

Experimentally it was found that a metal oxide has
formula M0.98O. Metal M, is present as M2+ and
M3+ in its oxide. Fraction of the metal which exists
as M3+ would be -
(1) 6.05% (2) 5.08%
(3) 7.01% (4) 4.08%

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IIT-JEE Other Question

A piston filled with 0.04 mol of an ideal gas
expands reversibly from 50.0 mL to 375 mL at a
constant temperature of 37.0ºC. As it does so, it
absorbs 208 J of heat. The values of q and w for the
process will be -
(R = 8.314 J/mol K) (ln 7.5 = 2.01)
(1) q = – 208 J, w = + 208 J
(2) q = + 208 J, w = + 208 J
(3) q = + 208 J, w = – 208 J
(4) q = – 208 J, w = – 208 J For gaseous state, if most probable speed is
denoted by C*, average speed by C and mean
square speed by C, then for a large number of
molecules the ratios of these speeds are -