MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

2nd Law of Thermodynamics

At constant v...

Question

At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is.

Open in App

Solution

$Δ U = n C_{v} Δ T$
$5000 = 4 \times C v (500 - 300)$
$C v = 6.25 {JK}^{- 1} {mol}^{- 1}$

Suggest Corrections

thumbs-up

17

Similar questions

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. Molar heat capacity of an ideal gas at constant volume is given by

C_{v} = 16.5 + 10^{- 2} T

(in Joule). If 3.5 moles of this ideal gas are heated at constant volume from 300K to 400K the change in internal energy (in kJ) will be:

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. The temperature of

5 m o l

of a gas which was held at constant volume was changed from

100^{o} C

120^{o} C

. The changes in internal energy was found to be

80 J

. Find the molar heat capacity of the gas at constant volume?

Q. The molar heat capacity of a gas at constant volume is

C_{v}

n

moles of the gas undergo

Δ T

change in temperature, its internal energy will change by

n C_{v} Δ T

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Second Law of Thermodynamics

PHYSICS

Watch in App

explore_more_icon

Explore more

2nd Law of Thermodynamics

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon