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A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?
[2008]
- a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.
- b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.
- c)Both internal energy and enthalpy of the gas remain constant
- d)Both internal energy and enthalpy of the gas increase
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A balloon containing an ideal gas is initially kept in an evacuated an...
Since the kinetic energy of the molecules won’t change in vacuum ⇒ temperature remains constant ⇒ internal energy remains constant.
Now pV/T = constant
⇒ pV = constant
⇒ H = U + pV = constant
Now pV/T = constant
⇒ pV = constant
⇒ H = U + pV = constant
Most Upvoted Answer
A balloon containing an ideal gas is initially kept in an evacuated an...
Explanation:
In this scenario, we have a balloon containing an ideal gas that is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. We need to determine the change in internal energy and enthalpy of the gas at the end of this process.
Understanding Internal Energy and Enthalpy:
Before we proceed, let's understand what internal energy and enthalpy are.
- Internal energy (U) is the sum of the kinetic and potential energies of the molecules in a system. It represents the total energy possessed by the system.
- Enthalpy (H) is the sum of the internal energy and the product of pressure and volume. It represents the total heat content of a system at constant pressure.
Changes in Internal Energy and Enthalpy:
When the balloon ruptures and the gas fills up the entire room, there are no heat interactions with the surroundings. As the room is insulated, no heat exchange occurs. Therefore, the system is adiabatic, meaning there is no heat transfer.
Since there is no heat transfer, the change in internal energy (ΔU) and enthalpy (ΔH) of the gas is zero. This can be explained as follows:
- Internal Energy (ΔU): As there is no heat exchange, the change in internal energy is zero. The molecules of the gas are in constant motion, and the total energy remains the same.
- Enthalpy (ΔH): Enthalpy is the sum of internal energy (U) and the product of pressure (P) and volume (V). Since there is no change in internal energy and the system is adiabatic, the change in enthalpy is also zero.
Therefore, both the internal energy and enthalpy of the gas remain constant at the end of the process. This is described by option C.
In this scenario, we have a balloon containing an ideal gas that is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. We need to determine the change in internal energy and enthalpy of the gas at the end of this process.
Understanding Internal Energy and Enthalpy:
Before we proceed, let's understand what internal energy and enthalpy are.
- Internal energy (U) is the sum of the kinetic and potential energies of the molecules in a system. It represents the total energy possessed by the system.
- Enthalpy (H) is the sum of the internal energy and the product of pressure and volume. It represents the total heat content of a system at constant pressure.
Changes in Internal Energy and Enthalpy:
When the balloon ruptures and the gas fills up the entire room, there are no heat interactions with the surroundings. As the room is insulated, no heat exchange occurs. Therefore, the system is adiabatic, meaning there is no heat transfer.
Since there is no heat transfer, the change in internal energy (ΔU) and enthalpy (ΔH) of the gas is zero. This can be explained as follows:
- Internal Energy (ΔU): As there is no heat exchange, the change in internal energy is zero. The molecules of the gas are in constant motion, and the total energy remains the same.
- Enthalpy (ΔH): Enthalpy is the sum of internal energy (U) and the product of pressure (P) and volume (V). Since there is no change in internal energy and the system is adiabatic, the change in enthalpy is also zero.
Therefore, both the internal energy and enthalpy of the gas remain constant at the end of the process. This is described by option C.
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A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect answer is option 'C'. Can you explain this answer?
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A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect 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 balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect 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 balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect answer is option 'C'. Can you explain this answer?.
A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect 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 balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect 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 balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect answer is option 'C'. Can you explain this answer?.
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A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process?[2008]a)The internal energy of the gas decreases from its initial value, but the enthalpy remains constant.b)The internal energy of the gas increases from its initial value, but the enthalpy remains constant.c)Both internal energy and enthalpy of the gas remain constantd)Both internal energy and enthalpy of the gas increaseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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