Balance the combustion reaction:
a C₂H₂ + b O₂ → c CO₂ + d H₂O
Count the atoms on both sides of the reaction:
• C : 2a = c
• H : 2a = 2d
• O : 2b = 2c + d
Let a = 1; then c = 2 and d = 1, and it follows that
2b = 2•2 + 1 = 5
so that b = 5/2, and the balanced reaction is
1 C₂H₂ + 5/2 O₂ → 2 CO₂ + 1 H₂O
or, with integer coefficients,
2 C₂H₂ + 5 O₂ → 4 CO₂ + 2 H₂O
C₂H₂ has a molar mass of about 26.038 g/mol, so we have a starting amount of
(64.0 g) (1/26.038 mol/g) ≈ 2.46 mol C₂H₂
According to the reaction, we produce H₂O in a 1-to-1 ratio with the C₂H₂ that is burned up, so we end up with about 2.46 mol H₂O.
The triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3".
So, the area of the triangle, Δ = sq. units.
Now, we have to find the radius of the circle with the same vertex as a center, if the arc in the triangle bisects the area of the triangle.
So, if the radius of the circle is r units, then
⇒ 0.5238 r² = 54
⇒ r² = 103.092
<u>⇒ r = 10.15 units. (Answer)</u>
Natural fibres can be classified according to their origin. The vegetable, or cellulose-base, class includes such important fibres as cotton, flax, and jute. The animal, or protein-base, fibres include wool, mohair, and silk. An important fibre in the mineral class is asbestos.
A time graph reveals specific information on the velocity (change in position with respect to a change in time).
So, on a position - time graph, the feature representing motion in the negative direction over time is a downward sloping line segment.
A slope in a position time graph depicts the velocity also called the slope in this type of graph as it the change in position over time.
So, a downward sloping line segment feature in a time graph indicates that the motion of the object is in the negative direction. While a positive sloping line segment indicates otherwise.
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