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JEE Main 202310 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Evening Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2023 · 10 April · Evening Shift · Physics · Thermodynamics

A gas is compressed adiabatically, which one of the following...

A gas is compressed adiabatically, which one of the following statement is NOT true?

Options

  1. AThere is no heat supplied to the system
  2. BThere is no change in the internal energy
  3. C

    The temperature of the gas increases

  4. DThe change in the internal energy is equal to the work done on the gas

Correct answer

B. There is no change in the internal energy

Step-by-step solution

In adiabatic process,

∆Q=0∆ Q = 0 and ∆U≠0∆ U \ne 0

Using the first law of thermodynamics, ∆Q=∆U+W∆ Q = ∆ U + W

⇒∆U=−W(Wis the work done by the gas,so−Wwill be the work done on the gas)⇒ ∆ U = - W\left(W\text{is the work done by the gas}, \text{so} - W\text{will be the work done on the gas}\right)

As the gas is compressed

W<0W < 0

Therefore, ∆U>0∆ U > 0 and hence ∆T>0∆ T > 0.

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