Answer:
Option A
Explanation:
Balanced equations of reactions used in the problem are follows,
(i) $(NH_{4})_{2}SO_{4}+Ca(OH)_{2}\rightarrow CaSO_{4}.2H_{2}O+2NH_{3}$
1 mol (132g) 1 mol (172 g) 2 mol (2×17=34g)
(ii) $Nicl_{2}.6H_{2}O+6NH_{3}\rightarrow [Ni(NH_{3})_{6}]Cl_{2}+6H_{2}O$
1mol (238g) 6mol (102g) 1 mol (232 g)
Now, in Eq .(i)
If, 1584 g of ammonium sulphate is used.
i.e, 1584 g of (NH4)2 SO4 = $\frac{1584}{132}=12 mol$
So, accordingto the Eq .(i) given above 12 moles of (NH4)2 SO4 produces
(a) 12 moles of gypsum
(b) 24 moles of ammonia
Here , 12 moles of gypsum= 12×172=2064 g
and 24 moles of NH3=24 × 17=408 g
Further , as given in question,
24 moles of NH3 produced in reaction (i) is completly utilised by 952 g or 4 moles of NiCl2. 6H2O to produce 4 moles of [Ni(NH3)6 ]Cl2.
So 4 moles of [Ni (NH3)6 ]Cl2 =4× 232 =928 gms
Hence, total mass of gypsum and nickel ammonia coordination compound [Ni(NH3)]6Cl2
=2064+928=2992