Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

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

For an ideal gas, the ratio of molar heat capacities is C_p / C_V =...

For an ideal gas, the ratio of molar heat capacities is

C_p / C_V = 7/6

. Calculate the change in internal energy of

1.0

mole of the gas when its temperature is increased by

50 \text{ K}

while keeping the volume constant.

Options

A $0 \text{ J}$
B $2905 \text{ J}$
C $415 \text{ J}$
D $2490 \text{ J}$

Correct answer

D. $2490 \text{ J}$

Step-by-step solution

Given

\dfrac{C_p}{C_V} = \dfrac{7}{6}

Using Mayer's relation,

C_p - C_V = R

\dfrac{7}{6}C_V - C_V = R \Rightarrow \dfrac{C_V}{6} = R \Rightarrow C_V = 6R

The change in internal energy is given by

\Delta U = n C_V \Delta T

Substituting

n = 1 \text{ mol}

and

\Delta T = 50 \text{ K}

:

\Delta U = 1 \times 6R \times 50 = 300R

Taking

R = 8.3 \text{ J K}^{-1} \text{ mol}^{-1}

:

\Delta U = 300 \times 8.3 = 2490 \text{ J}

Practice Specific Heat Capacities of Gases on Quantrex Academy →

More from Specific Heat Capacities of Gases

The ratio of molar heat capacities for an ideal gas is given as C_p / C_V = 7/6 . Find… Concepts Of Physics MCQ Edition [Volume 2]An ideal gas has a molar heat capacity ratio of C_p / C_V = 7/6 . Determine the change in… Concepts Of Physics MCQ Edition [Volume 2]As illustrated in the figure, a cylindrical container holds oxygen ( γ = 1.4 ) and is… Concepts Of Physics MCQ Edition [Volume 2]A vessel containing one mole of a monatomic ideal gas (molecular weight = 20 g mol^ -1 )… Concepts Of Physics MCQ Edition [Volume 2]When 50 J of heat is supplied to an ideal gas, it expands from 100 cm^3 to 200 cm^3 at a… Concepts Of Physics MCQ Edition [Volume 2]An ideal gas expands from 100 cm^3 to 200 cm^3 at a constant pressure of 2.0 × 10^5 Pa… Concepts Of Physics MCQ Edition [Volume 2]An ideal gas expands from 100 cm^3 to 200 cm^3 at a constant pressure of 2.0 × 10^5 Pa… Concepts Of Physics MCQ Edition [Volume 2]During a particular process, a monatomic ideal gas absorbs an amount of heat Q and… Concepts Of Physics MCQ Edition [Volume 2] Full Specific Heat Capacities of Gases list All Concepts Of Physics MCQ Edition [Volume 2] PYQs