Advanced Placement (AP) High School

a large coal fired fire electric power plant produces 12 million kilowatt-hours of electricity each day. assume that an input of 10,000 BTUs of heat is required to produce an output of 1 kWh of electricity
a. calculate the number of BTUs of heat needed to generate the electricity produced by the power plant each day
b. calculate the number of pounds of coal consumed by the power plant each day, assuming that one pound of coal yields 5,000 BTUs of heat
c. calculate the number of pounds of sulfur released by the power plant each day, assuming that the coal contains one percent sulfur by weight

Answers

Answer 1

Note that the power plant releases 240,000 pounds of sulfur each day.

How is this so ?

a.  inorder to to produce 1 kWh of electricity, 10,000 BTUs of heat are required. Thus for 12 million KWh

12 million kWh x 10,000 BTUs/kWh

= 120 billion BTUs

So, 120 billion BTUs of heat are needed to generate the electricity produced by the power plant each day.

b. One pound of coal yields 5,000 BTUs of  heat

Thus:

120 billion BTUs / 5,000 BTUs /pound

= 24 million pounds of coal

Hence, the power plant consumes 24 million pounds of coal every day

c. If the coal contains one percent sulfur by weight, then the amount of sulfur released each day can be calculated as

24 million pounds of coal x 0.01

=  240,000 pounds of sulfur

Hence it is correct to state that, the power plant releases 240,000 pounds of sulfur each day.

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Related Questions

difference between “ find the intergral “ & “ definite intergral “

Answers

Answer:

Explanation:

"Find the integral" and "definite integral" are two concepts in calculus that are related, but they have different meanings.

"Finding the integral" refers to the process of finding the antiderivative of a function. An antiderivative of a function is another function whose derivative is equal to the original function. The symbol used to represent the antiderivative is the integral symbol without limits:

∫ f(x) dx

Here, f(x) is the function to be integrated and dx represents the variable of integration.

The antiderivative of a function is not unique and can differ by a constant of integration. Therefore, when finding the antiderivative, we usually add a constant of integration, denoted by "+ C", to indicate that there are infinitely many antiderivatives of a given function.

On the other hand, a "definite integral" is a numerical value obtained by integrating a function between two specified limits. The definite integral of a function is denoted by the integral symbol with limits:

∫ a to b f(x) dx

Here, a and b are the lower and upper limits of integration, respectively. The definite integral represents the area under the curve of the function f(x) between the limits of integration. The definite integral is a number, unlike the indefinite integral, which represents a family of functions.

In summary, "finding the integral" refers to the process of finding the antiderivative of a function, while "definite integral" refers to a numerical value obtained by integrating a function between two specified limits.

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The main difference between "finding the integral" and "definite integral" is that the former refers to the process of finding the antiderivative of a function, while the latter refers to the process of finding the area under a curve between two points.

Finding the integral of a function involves finding the antiderivative of that function, which is a function whose derivative is equal to the original function. This process is also known as integration. The antiderivative of a function is not unique, as it can differ by a constant value.

On the other hand, the definite integral of a function involves finding the area under the curve of that function between two specific points. This process is also known as integration, but with the addition of specific limits of integration. The definite integral is a number, not a function, and represents the area between the function and the x-axis over the interval specified by the limits of integration.

In summary, finding the integral refers to the process of finding the antiderivative of a function, while the definite integral refers to the process of finding the area under a curve between two points.

Which feature displays certain data in a database?

Answers

The feature of a database that displays data in a certain sequence, such as alphabetical order is Filter.

What is the filter?

Filter may be a common include of a database that organizes the information in a specific arrangement , such as in sequential order arrange, numerical arrange, or chronological arrange.

This include is valuable after you need to discover a particular record, compare the information completely different records, or analyze the data in a particular arrange. By Filter of the  the information, you'll be able effectively recognize designs, patterns, and connections which will not be unmistakable in an unsorted list.

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Which feature of a database displays data in a certain sequence, such as alphabetical order? Chart Filter Search Sort

How does someone throwing their cigarette butt out of the car window demonstrate the tragedy of the commons in terms of pollution?

Answers

The tragedy of the commons illustrates how individualistic behavior can result in the overconsumption and depletion of shared resources.

What is the explanation for the above response?

The issue of pollution serves as a prime example, wherein individuals who selfishly litter or improperly dispose their waste in public areas disregard the negative externalities that their actions have on the environment and community at large.

Recklessly throwing cigarette butts out of car windows exemplifies such behavior, which leads to environmental degradation, wildlife harm, and impacts the health of others who share the same ecosystem. The necessity for joint effort and accountable conduct is emphasized in tackling shared predicaments such as contamination.

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a short-term loan to shore up the value of the mexican peso would most likely be funded by
A. a foreign direct investment
B. an IDA loan
C. an IBRD loan
D. an individual broker
E. an IMF loan

Answers

A short-term loan that would most likely be used in this situatis called:

E. An IMF loan

What is a Short-term Loan?

A type of borrowing, typically requiring repayment within a year or less, is known as a short-term loan, while the IMF is a financial organization that offers assistance to its member countries facing balance of payment challenges, such as currency crises, which could lead to the Mexican government seeking a loan from the IMF accompanied by certain policy reforms to tackle the underlying economic issues.

Therefore, in this scenario stated above, the Mexican government would most likely request a loan from the IMF in order to stabilize the peso's value. This  loan would be accompanied with some conditions, such as policy reforms, in order to address the underlying economic issues.

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