From the mass percent given, 12a=44x b=6x 16c=43x 14d=0.8x Σ=100x 100x=wt of decomposable waste =0.455kg ⇒x=
0.455
100
kg=4.55g ⇒a=16.683,b=27.3 c=12.228,d=0.26 From the balance of reaction we have a=m+s...(A) b+2n=4m+3d...(B) c+n=2s...(C) ⇒2c+2n=4s...(D) ⇒b−2c=4m−4s+3d ⇒
b−2c−3d
4
=m−s ⇒m−s=0.516 ⇒m+s=16.683 ⇒m=8.6 ⇒ Methane produced =8.6×16g=137.6g