GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

Question : 40 of 65

Marks: +1, -0

A coal containing

2 \%

sulfur is burned completely to ash in a brick kiln at a rate of

30 {kg} {/} {min}

. The sulfur content in the ash was found to be

6 \%

of the initial amount of sulfur present in the coal fed to the brick kiln. The molecular weights of

{S}, {H}

and

{O}

are 32,1 and

16 {g} {/} {mole}

, respectively. The annual rate of sulfur dioxide

( {SO}_{2})

emission from the kiln (in tonnes/year, up to two decimal places) is________

Solution:

Coal burned in one year

= 30 × 24 × 60 × 365

=1.5768 × 10^{7} {kg}

Sulfur content

=\;{2}/{100} × 1.5768 × 10^{7} × 10^{-6}=315.36

tonnes/year

Sulfur content in ash

=\;{6}/{100} × 315.36=315.36

tonnes/year
Sulfur converted to

{SO}_{2}=315.36-18.92=296.44

tonnes/year

{S}+ {O}_{2} → {SO}_{2}

1 mole of

{S}

is present in 1 mole of

{SO}_{2}

32 {gm}

{S}

is present in

64 {gm}

{SO}_{2}

∴

Rate of

{SO}_{2}

emission

=\;{64}/{32} × 296.44=592.88

tonnes

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