In a hydroelectric power plant, 65 m3/s of water flows from an elevation of 90 m to a turbine, where electric poweris generated. The overall efficiency of the turbine–generator is84 percent. Disregarding frictional losses in piping, estimate the electric power output of this plant.

Answers

Answer 1

Answer:

Electric power output of this plant is [tex]48.192\times 10^{6}\,W[/tex].

Explanation:

From First Law of Thermodynamics we understand that hydroelectric power plant transforms mechanical energy from fluid into electric energy. The power output of this plant ([tex]\dot W[/tex]), measured in watts, is determined by this expression, which is derived from definition of mechanical energy and energy efficiency:

[tex]\dot W = \eta \cdot \rho\cdot g\cdot H \cdot \dot V[/tex] (1)

Where:

[tex]\eta[/tex] - Energy efficiency, no unit.

[tex]\rho[/tex] - Density, measured in kilograms per cubic meter.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]H[/tex] - Fluid column, measured in meters.

[tex]\dot V[/tex] - Volume flow, measured in cubic meters per second.

If we know that [tex]\eta = 0.84[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]H = 90\,m[/tex] and [tex]\dot V = 65\,\frac{m^{3}}{s}[/tex], then the estimated electric power output of this plant is:

[tex]\dot W = (0.84)\cdot \left(1000\,\frac{kg}{m^{2}} \right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot \left(90\,m\right)\cdot \left(65\,\frac{m^{3}}{s} \right)[/tex]

[tex]\dot W = 48.192\times 10^{6}\,W[/tex]

Electric power output of this plant is [tex]48.192\times 10^{6}\,W[/tex].


Related Questions

Life cycle assessments are used by various industries to identify and evaluate the total energy impacts of their products and services.

True or False?

Answers

Answer:

True.

Explanation:

A product life cycle can be defined as the stages or phases that a particular product passes through, from the period it was introduced into the market to the period when it is eventually removed from the market.

Generally, there are four (4) stages in the product-life cycle;

1. Introduction.

2. Growth.

3. Maturity.

4. Decline.

Life cycle assessment (LCA) also known as life cycle analysis can be defined as an environmental management technique which is typically used by industries to assess, monitor and analyze the impact of the various stages of the life-cycle of their products, systems, processes or activities and services on the environment i.e the cradle to grave impacts.

Generally, life cycle assessments requires a thorough evaluation of the raw materials and energy that are being used in the manufacturing process of a product or service, as well as determining the various emissions into the environment respectively.

For example, in the manufacturing process of a product, life cycle assessment evaluates the impact of the product from raw material extraction (cradle) to production (finished product), distribution, use, and the disposal of the product (grave).

Hence, life cycle assessments are used by various industries to identify and evaluate the total energy impacts of their products and services.

what is in gorilla glue

Answers

Answer:

glue

Explanation:

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