Calculate the volumetric efficiency of the compressor

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Reference no: EM132224644

Question 1. A compressor has a piston diameter of 500 mm and a stroke length of 600 mm. If the clearance volume is 0.01 m3, the inlet pressure is 100 kN m-2, the delivery pressure is 500 kN m-2 and the index of compression is 1.3, calculate:

(a) The volumetric efficiency of the compressor

(b) If the pressure ratio is doubled, what will the new clearance volume need to be in order that the volumetric efficiency is not reduced?

Question 2. Compressed air at a pressure of 10 bar is used at the rate of 0.2 m3 min-1. If the air is compressed from a pressure of 1 bar and temperature of 22°C at an index of compression of 1.26, calculate:

(i) the required power input to the compressor
(ii) the isothermal efficiency of the polytropic compression
(iii) the temperature of the air after the polytropic compression.

Question 3. Air is to be compressed from a pressure of 1 bar and a temperature of 20°C to a pressure of 15 bar in a two stage compressor with intercooling. After intercooling the air temperature returns to 20°C and the polytropic index of compression is 1.28. If the input power per stage of compression is 2 kW, calculate:

(a) The volumetric flow rate of free air (at 1 bar and 20°C) in m3 s-1.

(b) The power required if the same compression was carried out in one stage isothermally.

(c) Represent the isothermal and two stage compressions on a p-V diagram, indicating the work done for each process.

Reference no: EM132224644

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len2224644

1/30/2019 1:47:31 AM

PASS MERIT Criteria in excess of the pass grade. DISTINCTION Criteria in excess of the merit grade. Learning outcomes are Thermodynamic theories are Thermodynamic concepts satisfied as evidenced by applied correctly to solve and theories are selected and substantially correct problems and calculate correctly applied to complex description and analysis. values. problems.

len2224644

1/30/2019 1:47:26 AM

Assessment Criteria This assignment relates to the understanding of compressors and the application of thermodynamics to compressors. MODULE LEARNING OUTCOMES Knowledge and Understanding 1. Understand how compressors work and the thermodynamic theories which apply. Cognitive and Intellectual Skills 2. Apply the laws of thermodynamics to solve problems associated with compressors. Practical and Professional Skills Key Transferable Skills 3. Apply numerical skills to the solution of thermodynamic problems.

len2224644

1/30/2019 1:47:16 AM

Before you start please read the following instructions carefully. 1. This assignment forms part of the formal assessment for this module. If you fail to reach the required standard for the assignment then you will be allowed to resubmit but a resubmission will only be eligible for a Pass grade, not a Merit or Distinction. You should therefore not submit the assignment until you are reasonably sure that you have completed it successfully. Seek your tutor's advice if unsure. 2. Ensure that you indicate the number of the question you are answering. 3. Make a copy of your answers before submitting the assignment.

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