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A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?
a.65000J
b.3000J
c 154J
d.133J?
a.65000J
b.3000J
c 154J
d.133J?
Most Upvoted Answer
A scientist needs a refrigeration machine to maintain temperature of -...
**Solution:**
To find the work performed on the system, we can use the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system.
In this case, the heat added to the system is -3000J (since heat is being withdrawn from the reservoir), and the work done by the system is what we need to find.
**Finding the Change in Internal Energy:**
The change in internal energy can be calculated using the equation:
ΔU = mcΔT
where m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
In this case, since the substance is not specified, we can assume a unit mass. The specific heat capacity of water is approximately 4.18J/g°C, so we can use this value as an approximation.
ΔU = mcΔT = (1g)(4.18J/g°C)(27°C - (-13°C)) = 1g(4.18J/g°C)(40°C) = 167.2J
Therefore, the change in internal energy is 167.2J.
**Calculating the Work Done:**
Now we can use the first law of thermodynamics to find the work done by the system:
ΔU = Q - W
167.2J = -3000J - W
W = -3000J - 167.2J = -3167.2J
Since work is a transfer of energy, it is a scalar quantity and can be negative. In this case, the negative sign indicates that work is being done on the system.
Therefore, the work performed on the system during each cycle of its operation is -3167.2J (or approximately -3167J).
To find the work performed on the system, we can use the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system.
In this case, the heat added to the system is -3000J (since heat is being withdrawn from the reservoir), and the work done by the system is what we need to find.
**Finding the Change in Internal Energy:**
The change in internal energy can be calculated using the equation:
ΔU = mcΔT
where m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
In this case, since the substance is not specified, we can assume a unit mass. The specific heat capacity of water is approximately 4.18J/g°C, so we can use this value as an approximation.
ΔU = mcΔT = (1g)(4.18J/g°C)(27°C - (-13°C)) = 1g(4.18J/g°C)(40°C) = 167.2J
Therefore, the change in internal energy is 167.2J.
**Calculating the Work Done:**
Now we can use the first law of thermodynamics to find the work done by the system:
ΔU = Q - W
167.2J = -3000J - W
W = -3000J - 167.2J = -3167.2J
Since work is a transfer of energy, it is a scalar quantity and can be negative. In this case, the negative sign indicates that work is being done on the system.
Therefore, the work performed on the system during each cycle of its operation is -3167.2J (or approximately -3167J).
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A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?a.65000Jb.3000Jc 154Jd.133J?
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A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?a.65000Jb.3000Jc 154Jd.133J? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?a.65000Jb.3000Jc 154Jd.133J? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?a.65000Jb.3000Jc 154Jd.133J?.
A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?a.65000Jb.3000Jc 154Jd.133J? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?a.65000Jb.3000Jc 154Jd.133J? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A scientist needs a refrigeration machine to maintain temperature of -13 degree celcius for certain chemical process. How much work must be performed on the system during each cycle of its operation if 3000J of heat is to be withdrawn from the -13 degree celcius reservoir and discharged to the room at +27 degree celcius ? Assume the machine operates at 100% efficiency.?a.65000Jb.3000Jc 154Jd.133J?.
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