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A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:
- a)increases by 250 J
- b)decreases by 250 J
- c)increases by 50 J
- d)decreases by 50 J
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A gas is compressed from a volume of 2m3 to a volume of 1m3 at a cons...
Given:
Initial volume, V1 = 2m³
Final volume, V2 = 1m³
Pressure, P = 100 N/m²
Heat supplied, Q = 150 J
To find: Change in internal energy, ΔU
Formula:
For a constant pressure process, ΔU = Q - PΔV
For a constant volume process, ΔU = Q
Calculation:
First, let's find the change in volume.
ΔV = V2 - V1
ΔV = 1m³ - 2m³
ΔV = -1m³ (negative sign indicates a decrease in volume)
Next, let's find the change in internal energy during the constant pressure process.
ΔU1 = Q - PΔV
ΔU1 = 150 J - 100 N/m² x (-1m³)
ΔU1 = 150 J + 100 J
ΔU1 = 250 J (positive sign indicates an increase in internal energy)
Finally, let's find the change in internal energy during the constant volume process.
ΔU2 = Q
ΔU2 = 150 J
Total change in internal energy is the sum of the changes during the two processes.
ΔU = ΔU1 + ΔU2
ΔU = 250 J + 150 J
ΔU = 400 J
Therefore, the internal energy of the gas increases by 250 J (Option A) when it is compressed from a volume of 2m³ to a volume of 1m³ at a constant pressure of 100 N/m² and then heated at constant volume by supplying 150 J of energy.
Initial volume, V1 = 2m³
Final volume, V2 = 1m³
Pressure, P = 100 N/m²
Heat supplied, Q = 150 J
To find: Change in internal energy, ΔU
Formula:
For a constant pressure process, ΔU = Q - PΔV
For a constant volume process, ΔU = Q
Calculation:
First, let's find the change in volume.
ΔV = V2 - V1
ΔV = 1m³ - 2m³
ΔV = -1m³ (negative sign indicates a decrease in volume)
Next, let's find the change in internal energy during the constant pressure process.
ΔU1 = Q - PΔV
ΔU1 = 150 J - 100 N/m² x (-1m³)
ΔU1 = 150 J + 100 J
ΔU1 = 250 J (positive sign indicates an increase in internal energy)
Finally, let's find the change in internal energy during the constant volume process.
ΔU2 = Q
ΔU2 = 150 J
Total change in internal energy is the sum of the changes during the two processes.
ΔU = ΔU1 + ΔU2
ΔU = 250 J + 150 J
ΔU = 400 J
Therefore, the internal energy of the gas increases by 250 J (Option A) when it is compressed from a volume of 2m³ to a volume of 1m³ at a constant pressure of 100 N/m² and then heated at constant volume by supplying 150 J of energy.
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A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:a)increases by 250 Jb)decreases by 250 Jc)increases by 50 Jd)decreases by 50 JCorrect answer is option 'A'. Can you explain this answer?
Question Description
A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:a)increases by 250 Jb)decreases by 250 Jc)increases by 50 Jd)decreases by 50 JCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:a)increases by 250 Jb)decreases by 250 Jc)increases by 50 Jd)decreases by 50 JCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:a)increases by 250 Jb)decreases by 250 Jc)increases by 50 Jd)decreases by 50 JCorrect answer is option 'A'. Can you explain this answer?.
A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:a)increases by 250 Jb)decreases by 250 Jc)increases by 50 Jd)decreases by 50 JCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:a)increases by 250 Jb)decreases by 250 Jc)increases by 50 Jd)decreases by 50 JCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas is compressed from a volume of 2m3 to a volume of 1m3 at a constant pressure of 100 N/ m2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas:a)increases by 250 Jb)decreases by 250 Jc)increases by 50 Jd)decreases by 50 JCorrect answer is option 'A'. Can you explain this answer?.
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