For the reaction $$A(g) \rightleftharpoons B(g)$$ at 495 K, $$\Delta$$_rG$$^\circ$$ = $$-$$9.478 kJ mol^$$-$$1.
If we start the reaction in a closed container at 495 K with 22 millimoles of A, the amount of B in the equilibrium mixture is ____________ millimoles.
(Round off to the Nearest Integer). [R = 8.314 J mol^$$-$$1 K^$$-$$1; ln 10 = 2.303]

$$2MnO_4^ - + b{C_2}O_4^{2 - } + c{H^ + } \to xM{n^{2 + }} + yC{O_2} + z{H_2}O$$

If the above equation is balanced with integer coefficients, the value of c is ___________. (Round off to the Nearest Integer).

A certain element crystallises in a bcc lattice of unit cell edge length 27$$\mathop A\limits^o $$. If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cel in $$\mathop A\limits^o $$ will be ____________. (Round off to the Nearest Integer).

[Assume each lattice point has a single atom]

[Assume $$\sqrt 3 $$ = 1.73, $$\sqrt 2 $$ = 1.41]

A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm^$$-$$3. The molarity of the solution is ____________ mol dm^$$-$$3. (Round off to the Nearest Integer).

[Atomic masses : K : 39.0 u; O : 16.0 u; H : 1.0 u]