MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Heat Engines

The internal ...

Question

The internal energy of two moles of an ideal gas at a temperature of $27^{o} C$ is $1200 R$ . Then find the molar specific heat of the gas at constant pressure?

Open in App

Solution

We have,
$\begin{matrix} u = 1200 R = \frac{f}{2} n R T \Rightarrow \frac{f}{2} \times 2 \times R \times 300 = 1200 \Rightarrow f = 4 ∴ C_{p} = (\frac{f}{2} + 1) R = 3 R \end{matrix}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Internal energy of two moles of an ideal gas at a temperature of

127^{o}

1200

R. Then, the specific heat of the gas at constant pressure is?

Q. Assertion :Molar specific heat at constant volume of an ideal diatomic gas is

\frac{3}{2} R + R

. Reason: On heating 1 mole of an ideal diatomic gas at constant pressure, for

1^{o} C

rise in temperature, the increase in internal energy of the gas is

\frac{7}{2} R

Read the above assertion and reason and choose the correct option regarding it.

Q. When 100 J of heat is given to an ideal gas it expands from

200 c m^{3}

400 c m^{3}

at a constant pressure of

3 \times 10^{3}

Pa.Calculate (a) the change in internal energy of the gas, (b) the number of moles in the gas if the initial temperature is 400 k, (c) the molar heat capacity

C_{p}

at constant pressure and (d) the molar heat capacity

C_{r}

at constant volume .

[R = \frac{25}{3} J / m o l - k]

Q. An ideal gas expands from 100 cm³ to 200 cm³ at a constant pressure of 2.0 × 10⁵ Pa when 50 J of heat is supplied to it. Calculate (a) the change in internal energy of the gas (b) the number of moles in the gas if the initial temperature is 300 K (c) the molar heat capacity C_p at constant pressure and (d) the molar heat capacity C_v at constant volume.

Q. Two moles of a gas at temperature

T

V

are heated to twice its volume at constant pressure. If

\frac{C_{p}}{C_{v}} = γ

then increase in internal energy of the gas is ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Thermodynamic Devices

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon