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Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286 = 1.37]
- a)111 kJ
- b)222 kJ
- c)37 kJ '
- d)74 kJ
Correct answer is option 'A'. Can you explain this answer?
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Consider a two stage reciprocating air compressor with a perfect inter...
Work done in either cylinder
= 3.5 x 286.7 x 300 (1.37 - 1) = 111 kJMost Upvoted Answer
Consider a two stage reciprocating air compressor with a perfect inter...
°C and is compressed to a pressure of 5 bar. It then passes through the intercooler where the temperature is reduced to 27°C before entering the high pressure cylinder. The pressure ratio across each stage is 5:1. Assume the air can be treated as an ideal gas with constant specific heats at room temperature.
To calculate the work done by the compressor, we can use the equation:
\(W = h_2 - h_1\)
where \(W\) is the work done, \(h_2\) is the enthalpy of the air at the outlet of the compressor, and \(h_1\) is the enthalpy of the air at the inlet of the compressor.
First, let's calculate the enthalpy at the inlet of the compressor (low pressure cylinder). We can use the equation:
\(h_1 = c_p \cdot T_1\)
where \(c_p\) is the specific heat at constant pressure and \(T_1\) is the temperature at the inlet.
Given that the pressure at the inlet is 1 bar and the temperature is 27°C, we can convert the temperature to Kelvin:
\(T_1 = 27 + 273.15 = 300.15\) K
The specific heat at constant pressure for air can be assumed to be approximately 1 kJ/kg·K.
\(h_1 = 1 \cdot 300.15 = 300.15\) kJ/kg
Next, let's calculate the enthalpy at the outlet of the compressor (high pressure cylinder). We can use the same equation:
\(h_2 = c_p \cdot T_2\)
where \(T_2\) is the temperature at the outlet.
We know that the pressure ratio across each stage is 5:1, so the pressure at the outlet of the low pressure cylinder is:
\(P_{outlet} = 5 \cdot P_{inlet} = 5 \cdot 1 = 5\) bar
Next, we need to calculate the temperature at the outlet. We can use the equation:
\(T_2 = \frac{P_{outlet}}{P_{inlet}} \cdot T_1\)
\(T_2 = \frac{5}{1} \cdot 300.15 = 1500.75\) K
Finally, we can calculate the enthalpy at the outlet:
\(h_2 = 1 \cdot 1500.75 = 1500.75\) kJ/kg
Now, we can calculate the work done by the compressor:
\(W = h_2 - h_1 = 1500.75 - 300.15 = 1200.6\) kJ/kg
Therefore, the work done by the compressor is 1200.6 kJ/kg.
To calculate the work done by the compressor, we can use the equation:
\(W = h_2 - h_1\)
where \(W\) is the work done, \(h_2\) is the enthalpy of the air at the outlet of the compressor, and \(h_1\) is the enthalpy of the air at the inlet of the compressor.
First, let's calculate the enthalpy at the inlet of the compressor (low pressure cylinder). We can use the equation:
\(h_1 = c_p \cdot T_1\)
where \(c_p\) is the specific heat at constant pressure and \(T_1\) is the temperature at the inlet.
Given that the pressure at the inlet is 1 bar and the temperature is 27°C, we can convert the temperature to Kelvin:
\(T_1 = 27 + 273.15 = 300.15\) K
The specific heat at constant pressure for air can be assumed to be approximately 1 kJ/kg·K.
\(h_1 = 1 \cdot 300.15 = 300.15\) kJ/kg
Next, let's calculate the enthalpy at the outlet of the compressor (high pressure cylinder). We can use the same equation:
\(h_2 = c_p \cdot T_2\)
where \(T_2\) is the temperature at the outlet.
We know that the pressure ratio across each stage is 5:1, so the pressure at the outlet of the low pressure cylinder is:
\(P_{outlet} = 5 \cdot P_{inlet} = 5 \cdot 1 = 5\) bar
Next, we need to calculate the temperature at the outlet. We can use the equation:
\(T_2 = \frac{P_{outlet}}{P_{inlet}} \cdot T_1\)
\(T_2 = \frac{5}{1} \cdot 300.15 = 1500.75\) K
Finally, we can calculate the enthalpy at the outlet:
\(h_2 = 1 \cdot 1500.75 = 1500.75\) kJ/kg
Now, we can calculate the work done by the compressor:
\(W = h_2 - h_1 = 1500.75 - 300.15 = 1200.6\) kJ/kg
Therefore, the work done by the compressor is 1200.6 kJ/kg.
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Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer?
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Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer?.
Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider a two stage reciprocating air compressor with a perfect intercooler operating at the best intermediate pressure. Air enters the low pressure cylinder at 1 bar, 27°C and leaves the high pressure cylinder at 9 bar. Assume the index of compression and expansion in each stage is 1.4, and that for air R - 286.7 J/kg K, the work done per kg air in the high pressure cylinder is [Take 30.286= 1.37]a)111 kJb)222 kJc)37 kJ d)74 kJCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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