The drain cleaner , Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at `20^@C` and one bar will be released when 0.15 g of aluminium reacts?

Explanation

Chemical equation is
` 2Al +2 NaOH +2H_2 O to 2 NaAlO_2 +3H_2`
from the above equation
2 gram atom of Al liberates 3 moles of `H_2` at NTP
` 2 xx 27 ` gms Al liberates `3 xx 22.4` lit.
0.15 gms of Al liberates ?
`= ( 0.15 xx 3 xx 22.4 )/( 2 xx 27)`
` = 0.1866 lit = 186.6 ml.`
` {:( P_1 =1.013 "bar" , P_2 =1 " bar"),( V_1 =186.6 ml , V_2 =? ),( T_1 =273 K ,T_2 = 20^@ C =293 K):}`
formuale :
`(P_1 V_1)/(T_1) = (P_2 V_2)/(T_2)= ( 1.013 xx 1866 )/( 273 ) = ( I xx V_2)/( 293 )`
` V_2 = ( 1.013 xx 186.6 xx 293 )/( 273 ) = 202 .87 ml`