If the internal energy of an ideal gas decreases by the same amount as the work done by the system, then the

A Process must be isobaric
B Temperature must decrease
C Process must be adiabatic
D Both B and C

Correct Answer: Both B and C

By first law of thermodynamics we can say $$\delta Q = dU + \delta W$$
$$ \Rightarrow $$  for the internal energy and work to be same in magnitude we can say that heat transfer has to be zero $$\delta Q = 0$$
So the process is adiabatic and given the system is ideal gas and its internal energy is decreasing so, we can say that temperature decreases since the internal energy of a substance is solely dependent of temperature.
Bissoy MCQ
#Chemical Engineering #Chemical Engineering Thermodynamics

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STP-তে একটি আদর্শ গ্যাসকে প্রথমে তার প্রাথমিক আয়তনের এক-তৃতীয়াংশে সংকুচিত করা হয়, এবং তারপর প্রসারিত হতে দেওয়া হয় যতক্ষণ না তার চাপ প্রাথমিক চাপের অর্ধেক হয়। উভয় প্রক্রিয়ায় গ্যাসের তাপমাত্রা স্থির থাকে। যদি গ্যাসের প্রাথমিক অভ্যন্তরীণ শক্তি । হয়ে থাকে তাহলে এর চূড়ান্ত অভ্যন্তরীণ শক্তি কত? (An ideal gas at STP is first compressed to one-third of its initial volume and then allowed to expand until its pressure is half the initial pressure. The temperature of the gas remains constant during both the processes. If the initial internal energy of the gas is U, what is its final internal energy?)
A U/3
B U/2
C U
D 2U/3
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A 1/4
B 1/2
C 1
D 2
Pressure-enthalpy chart is useful in refrigeration. The change in internal energy of an ideal fluid used in ideal refrigeration cycle is
A Positive
B Negative
C Zero
D Infinity
Two moles of an ideal gas expand freely into vacuum. The work done by the gas is
A 2J
B 4J
C Infinity
D 0
When a gas in a vessel expands, its internal energy decreases. The process involved is
A Reversible
B Irreversible
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D Adiabatic
The partial pressure distribution of an ideal gas diffusing through another stagnant ideal gas at steady state follows a/an __________ law.
A Exponential
B Parabolic
C Linear
D Cubic
For an ideal gas, the internal energy depends upon its __________ only.
A Molecular size
B Temperature
C Volume
D Pressure
The internal energy of an ideal gas is a function of its __________ only.
A Molecular size
B Volume
C Pressure
D Temperature
Internal energy of an ideal gas
A Increases with increase in pressure
B Decreases with increase in temperature
C Is independent of temperature
D None of these
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A Isothermal
B Adiabatic
C Isobaric
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