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

Correct Answer: None of these

Internal energy of an ideal gas is solely dependent on temperature and given by the relation: The internal energy of an substance is given by
$$\eqalign{ & dU = CvdT - \left \cr & {\text{For an ideal gas, }}PV = RT \cr & {\text{So, }}\left( {\frac{{\partial V}}{{\partial T}}} \right)p = \frac{R}{P}\,\,{\text{and }}\left( {\frac{{\partial V}}{{\partial P}}} \right)T = - \frac{{RT}}{{{P^2}}} \cr & {\text{Hence, }}dU = CvdT \cr} $$
So internal energy is only a function of temperature and increases with increase in 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?)
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A 1/4
B 1/2
C 1
D 2
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A Positive
B Negative
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A Exponential
B Parabolic
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A Molecular size
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B Temperature must decrease
C Process must be adiabatic
D Both B and C
The internal energy of an ideal gas is a function of its __________ only.
A Molecular size
B Volume
C Pressure
D Temperature
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A Isothermal
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A Pressure
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B Nature of the gas
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