Question #db360

1 Answer
Christian J.
Jan 10, 2018

#V = color(blue)(30.5L)#

Explanation:

This is a complex multistep problem.

Step 1: Stoichiometry
First, start by converting the grams of Al into moles:
#24.5gAl * (1molAl)/(27gAl) = 24.5/27 ~~ 90.7molAl#

Then, using the ratios provided in the balanced equation, convert from moles Al to moles #H_2#:
#24.5/27molAl * (3molH_2)/(2molAl) = 73.5/54 ~~ 1.36molH_2#

Step 2: Ideal Gas Law
Using the Ideal Gas Law at STP, determine the volume of H_2 produced:
#P*V = n*R*T#
#(1atm)*(V) = (73.5/54molH_2)(0.0821(L*atm)/(mol * K))(273K)#
#V = color(blue)(30.5L)#

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