A mixture of ethane and ethene occupies 41L at 1atm and 500K. The mixture completely reacts with 10/3 mole of O2 to produce CO2 and H2O.The mole fractions of ethane and ethene in the mixture are respectively (Given R= 0.0821 L atm K^-1mole^-1)

A solution contains Na 2​ CO 3​ and NaHCO 3​ . 10 mL of the solution required 2.5 mL of 0.1 M H 2​ SO 4​ for neutralisation using phenolphthalein as indicator. Methyl orange is then added when a further 2.5 mL of 0.2 M H 2​ SO 4​ was required. Calculate the amount of Na 2​ CO 3​ and NaHCO 3​ in one litre of the solution.

100mL of a water sample contains 0.81g of calcium bicarbonate and 0.73 of magnesium bicarbonate. The hardness of this water sample expressed in terms of equivalents of CaCO 3​ is:(molar mass of calcium bicarbonate is 162g mol^−1 and magnesium bicarbonate is 146 gmol −1 )

(A) 1000 ppm

(B) 10000 ppm

(C) 100 ppm

(D) 5000 ppm

Solution :

neq​.CaCO3​=neq​Ca(HCO3​)2​+neq​Mg(HCO3​)2​

or 

(W​÷100) ×2 = (0.81​÷ 162)×2 + (0.73÷146)​×2 

∴w=1.0

∴ Hardness=(1.0÷100) ×10^6=10000ppm

Hence correct option is (B) 10000ppm