Which of the following statements is/are correct?

Options

A. `CaC_(2)` is made in an electric furnace by the reaction
`CaO + C rarr CaC_(2) + CO`
`16.0 g` of `CaC_(2)` is obtained from `9.0g of C`
B. Polyethene can be proudced form `CaC_(2)` as follows
`CaC_(2) + H_2O rarr Ca + HC -= CH`
`HC -= CH + H_(2) rarr H_(2)C = CH_(2)`
`n(CH_(2) = CH_(2)) rarr - (CH_(2) - CH_(2))_(2) -` (polyethen)
`32.0 kg of CaC_(2)` produces `14.0 kg` of polyethene.
C. `1.435 g` of `AgCl`is obtained from `17.55` of `[Ag(NH_(3))_(2)]Cl` by the following reaction:
`[Ag (NH_(3))_(2)]Cl + 2HNO_(3) rarr AgCl + 2NH_(4) NH_(3)`.
D. Commercial sodium hydrosulfite is 50% pure `Na_(2)S_(2)O_(4)`. It is prepared as follows:
i. `Zn + 2SO_(2) rarr ZnS_(2)O_(4)`
ii. `ZnS_(2)O_(4) + Na_(2) CO_(3) rarr Zn CO_(3) + Na_(2) S_(2) O_(4))`
174.0 metric ton of commerical product `(Na_(2)S_(2)O_(4))` can be made from 65.4 metric ton of `Zn`, with a sufficient supply of other reactants.

Answer

A, B

Explanation

a. `underset(1 "mol")(CaO) + underset(3 "mol")(3C) rarr underset(1 "mol" = 64 g)(CaC_(2)) + CO`
Moles of `CaC_(2) = (16)/(64) = (1)/(4) "mol"`
Weight of `C = 3 xx (1)/(4) xx 12 = 9.0 g`
b. Weight of `C_(2) H_(4) = (32.0 kg) ((10^(3) g)/9kg))((1 "mol" CaC_(2))/(64 g))`
`((1 "mol" C_(2) H_(4))/("mol" CaC_(2)))((28 g C_(2) H_(4))/("mol" C_(2) H_(4)))`
`= (32 xx 10^(3) xx 1 xx 1 xx 28)/(64)`
`= 14 xx 10^(3) g = 14.0 g`
c. `[Mw "of" [Ag (NH_(3))_(2)] Cl = 177.5, Mw "of" AgCl = 143.5 g mol^(-1)]`
Weight of `AgCl = [17.75 g Ag (NH_(3))_(2) Cl]`
`((1 "mol" Ag (NH_(3))_(2) Cl)/(177.5 g Ag (NH_(3))_(2) Cl))`
`((1 "mol" AgCl)/("mol" Ag(NH_(3))_(2) Cl)) ((143.5 g AgCl)/("mol" AgCl))`
`= (17.75 xx 143.5)/(177.5) = 14.35 g`
Hence, (c ) is wrong.
d. (Atomic weight of `Zn = 65.4 g, Mw "of" Na_(2)S_(2)O_(4) = 174)`
Weight of pure `Na_(2)S_(2)O_(4) = (65.4 xx 10^(6) g Zn)`
`((1 "mol" Zn)/(65.4 g Zn))((1 "mol"Na_(2)S_(2)_O_(4))/("mol" Zn))`
`((174 g Na_(2)S_(2)O_(4))/("mol"Na_(2)S_(2)O_(4)))`
`= (65.4 xx 10^(6) xx 1 xx 1 xx 74)/(65.4)`
`174` metric ton
Weight of 50% pure of `Na_(2) S_(2) O_(4) = (174 xx 100)/(50)`
`= 348` metric ton
Hence , (d) is wrong