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A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately
1. Constant pressure process
2 Isothermal process
3. Isentropic process
Which one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?
- a)1 – 2 – 3
- b)2 – 3 – 1
- c)3 – 2 – 1
- d)3 – 1 – 2
Correct answer is option 'C'. Can you explain this answer?
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Given information:
- A perfect gas at 27C
- Volume of the gas is doubled
- Three different processes are applied separately:
1. Constant pressure process
2. Isothermal process
3. Isentropic process
- We need to find the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes.
Explanation:
To solve this problem, we need to use the gas laws and thermodynamics principles. Let's analyze each process separately and see how it affects the temperature of the gas.
1. Constant pressure process:
In this process, the pressure of the gas remains constant while its volume is doubled. According to the gas law PV = nRT, if the pressure is constant, then the temperature is directly proportional to the volume. Therefore, when the volume is doubled, the temperature also doubles. This means that the final temperature of the gas after the constant pressure process is 27C x 2 = 54C.
2. Isothermal process:
In this process, the temperature of the gas remains constant while its volume is doubled. According to the gas law PV = nRT, if the temperature is constant, then the pressure is inversely proportional to the volume. Therefore, when the volume is doubled, the pressure is halved. This means that the final temperature of the gas after the isothermal process remains the same as the initial temperature, which is 27C.
3. Isentropic process:
In this process, the entropy of the gas remains constant while its volume is doubled. This process is also known as the adiabatic process because there is no heat transfer between the gas and its surroundings. According to the adiabatic equation PV^γ = constant, where γ is the ratio of specific heats, the final temperature of the gas after the isentropic process can be calculated using the formula T2 = T1(V1/V2)^(γ-1), where T1 is the initial temperature, T2 is the final temperature, V1 is the initial volume, and V2 is the final volume. Since the gas is heated, its entropy increases, which means that γ > 1. Therefore, the final temperature of the gas after the isentropic process is higher than the initial temperature. By solving the equation, we get T2 = 27C x (1/2)^(γ-1), which is less than 54C but greater than 27C.
Conclusion:
From the above analysis, we can see that the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes is 3, 2, 1, which is option C.
- A perfect gas at 27C
- Volume of the gas is doubled
- Three different processes are applied separately:
1. Constant pressure process
2. Isothermal process
3. Isentropic process
- We need to find the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes.
Explanation:
To solve this problem, we need to use the gas laws and thermodynamics principles. Let's analyze each process separately and see how it affects the temperature of the gas.
1. Constant pressure process:
In this process, the pressure of the gas remains constant while its volume is doubled. According to the gas law PV = nRT, if the pressure is constant, then the temperature is directly proportional to the volume. Therefore, when the volume is doubled, the temperature also doubles. This means that the final temperature of the gas after the constant pressure process is 27C x 2 = 54C.
2. Isothermal process:
In this process, the temperature of the gas remains constant while its volume is doubled. According to the gas law PV = nRT, if the temperature is constant, then the pressure is inversely proportional to the volume. Therefore, when the volume is doubled, the pressure is halved. This means that the final temperature of the gas after the isothermal process remains the same as the initial temperature, which is 27C.
3. Isentropic process:
In this process, the entropy of the gas remains constant while its volume is doubled. This process is also known as the adiabatic process because there is no heat transfer between the gas and its surroundings. According to the adiabatic equation PV^γ = constant, where γ is the ratio of specific heats, the final temperature of the gas after the isentropic process can be calculated using the formula T2 = T1(V1/V2)^(γ-1), where T1 is the initial temperature, T2 is the final temperature, V1 is the initial volume, and V2 is the final volume. Since the gas is heated, its entropy increases, which means that γ > 1. Therefore, the final temperature of the gas after the isentropic process is higher than the initial temperature. By solving the equation, we get T2 = 27C x (1/2)^(γ-1), which is less than 54C but greater than 27C.
Conclusion:
From the above analysis, we can see that the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes is 3, 2, 1, which is option C.
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Community Answer
A perfect gas at 27°C was heated until its volume was doubled usi...
A perfect gas at 270 C is heated until its volume was doubled using the following three different
processes separately:
1. Constant pressure process.
2. Isothermal process
3. Isentropic process. Which of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?
processes separately:
1. Constant pressure process.
2. Isothermal process
3. Isentropic process. Which of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?
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A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. Can you explain this answer?
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A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. 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 A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. 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 A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. Can you explain this answer?.
A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. 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 A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. 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 A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. Can you explain this answer?.
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A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A perfect gas at 27°C was heated until its volume was doubled using the following three different processes separately1. Constant pressure process2 Isothermal process3. Isentropic processWhich one of the following is the correct sequence in the order of increasing value of the final temperature of the gas reached by using the above three different processes?a)1 – 2 – 3b)2 – 3 – 1c)3 – 2 – 1d)3 – 1 – 2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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