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The change in internal energy of a thermodynamical system which has absorbed 5000 cal of heat and does 5000 J of work is
  • a)
    Zero
  • b)
    16000 J
  • c)
    21000 J
  • d)
    10000 J
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The change in internal energy of a thermodynamical system which has a...
Calculation of Change in Internal Energy

Given:

Heat absorbed = 5000 cal

Work done = 5000 J

We know that:

1 cal = 4.184 J

Therefore, heat absorbed = 5000 × 4.184 = 20920 J

Change in internal energy (ΔU) = heat absorbed - work done

ΔU = 20920 J - 5000 J

ΔU = 15920 J

Therefore, the change in internal energy of the system is 15920 J.

Answer Explanation

The correct option is B) 16000 J.

In the given problem, we are required to calculate the change in internal energy of a thermodynamic system that has absorbed 5000 cal of heat and done 5000 J of work.

To calculate the change in internal energy, we need to use the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat absorbed by the system minus the work done by the system.

Using this formula, we can calculate the change in internal energy of the system as follows:

Heat absorbed = 5000 cal

1 cal = 4.184 J

Heat absorbed = 5000 × 4.184 = 20920 J

Work done = 5000 J

Change in internal energy (ΔU) = Heat absorbed - Work done

ΔU = 20920 J - 5000 J

ΔU = 15920 J

Therefore, the change in internal energy of the system is 15920 J.

However, the options given are in joules, so we need to round off the answer to the nearest thousand, which gives us 16000 J.

Hence, the correct option is B) 16000 J.
Free Test
Community Answer
The change in internal energy of a thermodynamical system which has a...
Q = W + U
U = Q – W = 5 × 103 × 4.2 – 5000
= 16000 J
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The change in internal energy of a thermodynamical system which has absorbed 5000 cal of heat and does 5000 J of work isa)Zerob)16000 Jc)21000 Jd)10000 JCorrect answer is option 'B'. Can you explain this answer?
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