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Katena32 [7]
3 years ago
6

An exothermic reaction is conducted in an insulated calorimeter filled with water. The calorimeter is then sealed so that there

is no heat exchanged between the contents of the container and the surrounding air. All of the following statements correctly describe what will happen over the course of the reaction except Your answer: A. the thermometer will show an increase in temperature. B. the potential energy of the products will be lower than that of the reactants. C. the total energy inside the calorimeter will decrease. D. the water increases in temperature as the reaction gives off heat.
Chemistry
1 answer:
Vaselesa [24]3 years ago
6 0
Answer: option <span>C. the total energy inside the calorimeter will decrease.
</span>

Justification:

The answer is a direct application of the first law of thermodynamic (the law of conservation of energy).

By telling that the t<span>he calorimeter is sealed so that there is no heat exchanged between the contents of the container and the surrounding air, the first law of thermodynamics implies that the total energy inside the calorimeter will not change.
</span>

<span>That statement, without adding any more is enough justification.
</span>

Regarding, the other statements, you can show they are true:

<span>A. the thermometer will show an increase in temperature.
</span><span>
</span><span>
</span><span>Since the reaction is exothermic, the heat released will increase the temperature inside the sealed calorimeter,which, of course, is shown by the termometer.
</span><span>
</span><span>
</span><span>
</span><span>B. The potential energy of the products will be lower than that of the reactants.
</span><span>
</span><span>
</span><span>In any exothermic reaction, the potential energy of the products is lower than that of the reactants, because the heat released is lost by the reactants when they react and transform into the products.
</span><span>
</span><span>
</span><span>D. The water increases in temperature as the reaction gives off heat</span>.

Sure. The heat cannot leave the sealed calorimeter, but the water inside the calorimeter will absorb that heat: the molecules of water will gain kinetic energy and so its temperature will be increase.

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Explain why the equation ( x - 4 ) ^2 - 28 =8 has two solutions. Then solve the equation to find the solutions. Show your work.
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Taking into account the discriminant and quadratic formula:

  • As Δ> 0 the function has two real roots or solutions.
  • The solutions are x1= 10 and x2= -2.
<h3 />

Zeros or solutions of a function

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

<h3>Discriminant</h3>

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of roots or solutions of the function.

Then:

  • If Δ <0 the function has no real roots and its graph does not intersect the x-axis.
  • If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points.
  • If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.
<h3 /><h3>Amount of solutions of function (x - 4)² - 28 =8</h3>

The function (x - 4)² - 28 =8 can be expressed as:

(x - 4)² - 28 -8= 0

(x - 4)² - 36= 0

x²- 8x + 16 - 36= 0

x²- 8x + 16 - 36= 0

x²- 8x - 20= 0

Being:

  • a= 1
  • b= -8
  • c= -20

the amount of solutions are calculated as:

Δ= (-8)²- 4×1×(-20)

Δ= 144

As Δ> 0 the function has two real roots or solutions and its graph intersects the x-axis at two points.

<h3>Solutions of a cuadratic function</h3>

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or solutions are calculated by:

x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}

<h3>Solutions of function (x - 4)² - 28 =8</h3>

The function (x - 4)² - 28 =8 can be expressed as x²- 8x - 20= 0

Being:

  • a= 1
  • b= -8
  • c= -20

the solutions of the function are calculated as:

x1=\frac{-(-8)+\sqrt{(-8)^{2}-4x1x(-20) } }{2x1}

x1=\frac{-(-8)+\sqrt{144 } }{2x1}

x1=\frac{8+\sqrt{144 } }{2}

x1=\frac{8+12 }{2}

x1=\frac{20}{2}

x1= 10

and

x2=\frac{-(-8)-\sqrt{(-8)^{2}-4x1x(-20) } }{2x1}

x2=\frac{-(-8)-\sqrt{144 } }{2x1}

x2=\frac{8-\sqrt{144 } }{2}

x2=\frac{8-12}{2}

x2=\frac{-4}{2}

x1= -2

Finally, the quadratic function (x - 4)² - 28 =8 has two solutions and the solutions are x1= 10 and x2= -2.

Learn more about the zeros of a quadratic function:

<u>brainly.com/question/14477557</u>

<u>brainly.com/question/842305</u>

<u>brainly.com/question/14477557</u>

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