52
When ethanol C
2
H
5
OH is completely combusted, carbon dioxide CO
2
and
water H
2
O are created.
The chemical reaction formula of this reaction is expressed as follows:
x C
2
H
5
OH + 3O
2
y CO
2
+ z H
2
O
Find the values of x, y, and z to complete the chemical reaction formula.
The numbers of C, H, and O before and after the reaction are equal, hence
Number of C: 2x = y
Number of H: 5x + x = 2z
Number of O: x + 6 = 2y+ z
As such, the following simultaneous equations are obtained:
2x - y + = 0
6x - 2z = 0
x - 2y - z = - 6
Solving these gives
x = 1, y = 2, z = 3
and the chemical reaction formula is
C
2
H
5
OH + 3O
2
2CO
2
+ 3H
2
O
<Equation mode>
<Simultaneous linear equations
in three unknowns>
Enter the coefficients
Set the mode to Equation
a1 = 2 , b1 = -1 , c1 = 0 , d1 = 0
a2 = 6 , b2 = 0 , c2 = -2 , d2 = 0
a3 = 1 , b3 = -2 , c3 = -1 , d3 = -6
(3-VLE)
Operation
2 1 0
0
6 0
2 0
1
2 1 6
<Example 2>
Simultaneous Calculation
Display
(This example is for EL-W516T only.)
(EQUATION)