Simultaneous Calculation - Sharp EL-W531X Operation Manual

Simultaneous Calculation

(Function for EL-W506X/EL-W516X/EL-W506)
<Example 2>
When ethanol C
water H O are created.
2
The chemical reaction formula of this reaction is expressed as follows:
x C H OH + 3O
2 5
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 + 1 = y
Number of O: x + 3 x 2 = 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 H OH + 3O
2 5
Operation
Set the mode to Equation
6 (EQUATION)
<Equation mode>
1 (3-VLE)
<Simultaneous linear equations
in three unknowns>
Enter the coefficients
a1 = 2 , b1 = -1 , c1 = 0 , d1 = 0
a2 = 6 , b2 = 0 , c2 = -2 , d2 = 0
a3 = 1 , b3 = -2 , c3 = -1 , d3 = -6
2
0 6
2 0
2
H OH is completely combusted, carbon dioxide CO
2 5
y CO + z H
2 2
2CO + 3H O
2 2 2
1 0
0
1
1
O
2
6
61
and
2
Display