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A coal-fired power plant, with parameters similar to those used in the text above, is to deliver1GW109wattsof power. Estimate the amount of steam (in kilograms) that must pass through the turbine(s) each second.

Short Answer

Expert verified

When a coal-fired plant is supposed to deliver 1GWof power, then the amount of steam that pass through the turbine per second is role="math" localid="1646944126762" 620.03kg.

Step by step solution

01

Step 1. Given information

Power delivered by coal-fired plant=1GW=109Watt.

02

Step 2. Explanation

The efficiency of steam engine=48%.

As, e=1-QcQh=WQhwhere,W=Qh-QcQh=HeatofhotreservoirQc=Heatofcoldreservoir

So,

Qh=We=1090.48=2.0833×109watt=2.0833GW

03

Step 3. Amount of steam

As some water is passing the turbine every second and let the mass of steam be Mgiven by:

QhM=H3-H1=3444-84KJkg=3360KJkg

So,

M=Qh3360KJkg=2.0833×1093360kg=620.029kg

04

Step 4. Conclusion

When a coal-fired plant is supposed to deliver 1KWof power, then the amount of steam that pass through the turbine per second is620.03kg.

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