EASY
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Statement = CP-CV=R for an ideal gas

Explanation =UVT=0 for an ideal gas.

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Important Questions on Thermodynamics

HARD

The molar heat capacity for an ideal gas at constant pressure is 20.785 J K-1 mol-1. The change in internal energy is 5000 J upon heating it from 300 K to 500 K. The number of moles of the gas at constant volume is____

(Given: R=8.314 J K-1 mol-1)

MEDIUM

200 mL of 0.2 M HCl is mixed with 300 mL of 0.1 M NaOH. The molar heat of neutralization of this reaction is -57.1 kJ. The increase in temperature in C of the system on mixing is x×10-2. The value of x is (Nearest integer)

[Given: Specific heat of water =4.18 J g-1 K-1 

Density of water=1.00 g cm-3]

(Assume no volume change on mixing)

MEDIUM

A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it is subjected to cooking at 100 °C, then the internal energy for vaporization in kJmol-1 is integer]

[Assume steam to be an ideal gas. Given ΔvapH for water at 373 K and 1 bar is 41.1 kJ mol-1:R=8.31 J K-1 mol-1]

HARD

The specific heat of a certain substance is 0.86 J g-1 K-1. Assuming ideal solution behavior, the energy required (in J) to heat 10 g of 1 molal of its aqueous solution from 300 K to 310 K is closest to :

[Given: molar mass of the substance =58 g mol-1; specific heat of water =4.2 J g-1 K-1]

MEDIUM
Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume? R=8.3 J/mol K
MEDIUM
When a 60 W electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic walls, the temperature of the gas rises by 5°C. The heat capacity of the given gas is JK-1 (Nearest integer)
MEDIUM
A piece of metal weighing 100 g is heated to 80°C and dropped into 1 kg of cold water in an insulated container at 15°C. If the final temperature of the water in the container is 15.69°C, the specific heat of the metal in J/g°C. is
EASY
The work done during combustion of 9×10-2 kg of ethane, C2H6(g) at 300 K is (Given R=8.314 JK1mol1 , atomic mass C=12,H=1 )
EASY
At constant pressure, the heat of formation of a compound is not dependent on temperature, when
EASY

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 vaporisation of ethanol 855 Jg-1 ]

 

HARD
An ideal gas undergoes isothermal compression from 5 m3 to 1 m3 against a constant external pressure of 4 N m-2. The heat released in this process is 24 J mol-1K-1 and is used to increase the pressure of 1 mole of Al. The temperature of Al increases by:
MEDIUM
X g of ice at 0oC is added to 340g of water at 20oC . The final temperature of the resultant mixture is 5oC . The value of X (in g) is closest to

[Heat of fusion of ice =333 J/g ; Specific heat of water =4.184 J/g.K ]
MEDIUM

The combination of plots which does not represent isothermal expansion of an ideal gas is

(A) Question Image

(B) Question Image

C Question Image

(D) Question Image

EASY
Which of the following relation is not correct?
HARD
A reversible cyclic process for an ideal gas is shown below. Here, P, V, and T are pressure, volume and temperature, respectively. The thermodynamic parameters q, w, H and U are heat, work, enthalpy and internal energy, respectively.

Question Image

The correct option(s) is (are)
EASY
If 100 mole of H2O2 decompose at 1 bar and 300 K, the work is done (kJ) by one mole of O2(g) as it expands against 1 bar pressure is:

2H2O2l2H2Ol+O2(g)

R=8.3 J K-1 mol-1
EASY
An ideal gas undergoes isothermal expansion at constant pressure. During the process:
EASY
The difference between C¯p and C¯V is C¯p and C¯V signify molar quantities]
MEDIUM
At constant volume, 4 mol of an ideal gas when heated from 300K to 500K changes its internal energy by 5000J. The molar heat capacity at constant volume is ________
EASY
Which of the following process best describes atomization of CH4g?