For the reaction

A + B $$\rightleftharpoons$$ 2C

the value of equilibrium constant is 100 at 298 K. If the initial concentration of all the three species is 1 M each, then the equilibrium concentration of C is x $$\times$$ 10^$$-$$1 M. The value of x is ____________. (Nearest integer)

Consider the cell at 25$$^\circ$$C

Zn | Zn²⁺ (aq), (1M) || Fe³⁺ (aq), Fe²⁺ (aq) | Pt(s)

The fraction of total iron present as Fe³⁺ ion at the cell potential of 1.500 V is x $$\times$$ 10^$$-$$2. The value of x is ______________. (Nearest integer)

(Given : $$E_{F{e^{3 + }}/F{e^{2 + }}}^0 = 0.77V$$, $$E_{Z{n^{2 + }}/Zn}^0 = - 0.76V$$)

At 298 K, the enthalpy of fusion of a solid (X) is 2.8 kJ mol^$$-$$1 and the enthalpy of vaporisation of the liquid (X) is 98.2 kJ mol^$$-$$1. The enthalpy of sublimation of the substance (X) in kJ mol^$$-$$1 is _____________. (in nearest integer)

A home owner uses 4.00 $$\times$$ 10³ m³ of methane (CH₄) gas, (assume CH₄ is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm and 300 K, mass of gas used is x $$\times$$ 10⁵ g. The value of x is __________. (Nearest integer)

(Given R = 0.083 L atm K^$$-$$1 mol^$$-$$1)