If A, G and H be respectively quantities, then show that, (i) `AH = G^(2)` (ii) `A gt G gt H`.

Molar heats of combustion of C_(2)H_(2)(g), C (graphite) and H_(2)(g) " are " -310.62 " kcal ", -94.05 " kcal " and -68.32 kcal respectively. Calculate the standard heat of formation of C_(2)H_(2)(g) .

Find out the expressions of apparent weight of a man in a lift when the lift is coming down with an acceleration (i) a = g and (iii) a gt g.

If three unequal positive numbers a, b, c are in G.P. then show that, a +c gt 2b .

If K_1 and K_2 are the respective equilibrium constants for the two reactions (i) XeF_6(g)+H_2O(g)iffXeOF_4(g)+2HF(g) (ii) XeO_4(g)+XeF_6(g)iffXeOF_4(g)+XeO_3F_2(g) The equilibrium constant for the reaction XeO_4(g)+2HF(g)iffXeO_3F_2(g)+H_2O(g) will be

If G_1 , G_2 and G denotes GM of the first group, GM of the second group and GM of the composite group respectively and if G_1 < G_2 , show that G_1 < G < G_2 .

The enthalpies of formation of C_2H_2(g) and C_6H_6(g) at 298 K are 230 and 85 kJ/mol respectively. The enthalpy change for the reaction 3C_2H_2(g) to C_6H_6(g) is

In a chemical reaction, if the total enthalpies of reactants and products are H_(R) and H_(P) respectively then H_(P) gt H_(R) for ______ reaction and H_(R) gt H_(P) for _____ reaction.

The following reaction is carried out at a particular temperature in a closed vessel of definite volume: CO_(2)(g)+H_(2)(g)hArrCO(g)+H_(2)O(g) . Initially, partial pressures of CO_(2)(g) and H_(2)(g) are 2 atm and 1 atm respectively and that of CO_(2)(g) at equilibrium is 1.4 atm. calculate equilibrium constant of the reaction.

Let f, g and h be functions from R to R. Show that (f +g ) oh = foh+ goh (f. g) oh = ( foh). (goh)

In the figure given below, show that length AH gt AB + BC + CD .