The entropy change ΔS for the combustion of methane to carbon dioxide and liquid water is -242.6 J/mol.K
<h3>What is the Entropy in a Chemical system?</h3>
In a chemical system, Entropy (ΔS) is a quantitative measure of the variety of possible ways to disperse energy inside a chemical system.
- In an isothermal process, entropy is determined as the quantity of heat transmitted to a system.
The chemical reaction for the combustion of methane can be expressed as:

The standard entropy of the combustion is expressed as:

Replacing the standard entropies of the compounds into the above equation, we have:


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The variable which is categorical in nature is: the color of the opposing team's jerseys.
<h3>What is a categorical data?</h3>
A categorical data can be defined as a type of statistical data that is used to group information that are having the same attributes or characteristics. Some examples of a categorical data include the following:
- Age
- Gender
- Race
- Religion
- Class
In this context, we can infer and logically deduce that the variable which is categorical in nature is the color of the opposing team's jerseys.
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Complete Question:
Coach Silva likes statistics. In fact, after each game he examines many variables to prepare for his next opponent. Which one of the following variables is categorical?
the color of the opposing team's jerseys
the number of passing yards for the quarterback
the attendance
the number of plays ran by the offense
When the sun’s energy moves through space it reaches earths atmosphere and the finally gets to the surface. The radiant solar energy warms the atmosphere and becomes heat energy.
The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
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