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Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: Specific Heat Capacities of Gases

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Specific Heat Capacities of Gases

An ideal gas ( γ = 1.5 ) initially at 300 K and 100 kPa with a...

An ideal gas (

\gamma = 1.5

) initially at

300 \text{ K}

and

100 \text{ kPa}

with a volume of

1

litre is suddenly compressed to half its original volume. What is the change in the internal energy of the gas?

Options

A $82.8 \text{ J}$
B $-82.8 \text{ J}$
C $41.4 \text{ J}$
D $-41.4 \text{ J}$

Correct answer

A. $82.8 \text{ J}$

Step-by-step solution

According to the first law of thermodynamics,

\Delta Q = \Delta U + W

.

Since the sudden compression is an adiabatic process, there is no heat exchange, so

\Delta Q = 0

.

This implies the change in internal energy is

\Delta U = -W

.

Using the work done calculated previously,

\Delta U = -(-82.8 \text{ J}) = 82.8 \text{ J}

.

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