Tag: heat and thermodynamics

Questions Related to heat and thermodynamics

Find the ratio of specific heat at constant pressure to the specific heat at constant volume for ${ NH } _{ 3 }$

  1. 1.33

  2. 1.44

  3. 1.28

  4. 1.67


Correct Option: C

An ideal gas has molar specific heat 5R/2 at constant pressure. If 300 J of heat is given to two moles of gas at constant pressure, the changes in temperature is : 

  1. $ 7.22^oC$

  2. $8.94^oC$

  3. Zero

  4. $5^oC$


Correct Option: D

The volume of 1 kg of hydrogen gas at N.T.P. is ${ 11.2 }m^{ 3 }$. Specific heat of hydrogen at constant volume is $100.46J\quad Kg^{ -1 }{ K }^{ -1 }$.Find the specific heat at constant pressure in $Jkg^{ -1 }{ K }^{ -1 }$?

  1. 120.2

  2. 142.2

  3. 163.4

  4. 182.3


Correct Option: A

The quantity of heat (in J) required to raise the temperature of $1.0\, kg$ of ethanol from $293.45\, K$ to the boiling point and then change the liquid to vapor at that temperature is closest to 
[Given : Boiling point of ethanol $351.45\, K$
              Specific heat capacity of liquid ethanol $2.44\, J\, g^{-1}\, K^{-1}$
               Latent heat of vaporization of ethanol $855\, J \, g^{-1}$]

  1. $1.42\, \times 10^2$

  2. $9.97\, \times 10^2$

  3. $1.42\, \times 10^5$

  4. $9.97\, \times 10^5$


Correct Option: D

A real gas behaves like an ideal gas at which pressure (P) nd temperature (T)?

  1. low P,high T

  2. high P,high T

  3. low P ,low T

  4. high P, low T


Correct Option: D

An ideal monatomic gas follows a law, $P\propto { T }^{ 2 }$ in addition to ideal gas law. Then molar heat capacity for the process is 

  1. $R$

  2. $\dfrac { R }{ 2 } $

  3. $\dfrac { 3R }{ 2 } $

  4. $2R$


Correct Option: A

An ideal gas expands into a vacuum in a rigid vessel. As a result there is :

  1. a change in entropy

  2. a increase of pressure

  3. a change in temperature

  4. a decrease of internal energy


Correct Option: B,C

Which of the following statements are incorrect?
I. If $Q > 0$, heat is added to the system.
II. If $W > 0$, work is done by the system.
III. If $W = 0$, work is done by the system.

  1. II and III

  2. I, II and III

  3. I and II

  4. I and III


Correct Option: A

A monatomic ideal gas expands at constant pressure, with heat Q supplied. The fraction of Q which goes as work done by gas is

  1. 1

  2. $\displaystyle{\dfrac{2}{3}}$

  3. $\displaystyle{\dfrac{3}{5}}$

  4. $\displaystyle{\dfrac{2}{5}}$


Correct Option: D
Explanation:

$Q = nC _p \Delta T$ and $W = P\Delta V = nR\Delta T$
monatomic gas, $\displaystyle{C _p = \dfrac{5R}{2}}$.
$\Rightarrow$$\displaystyle{\dfrac{W}{Q} = \dfrac{2}{5}}$

For a solid with a small expansion coefficient

  1. $ C _p - C _v = R $

  2. $ C _p = C _v $

  3. $ C _p $ is slightly greater than $ C _v $

  4. $ C _p $ is slightly less than $ C _v $


Correct Option: C