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Thermodynamic State Variables And Equation Of State - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Thermodynamic variables and equation of state is considered one of the most asked concept.

  • 18 Questions around this concept.

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One mole of an ideal gas passes through a process where pressure and volume obey the relation P = P_0 [ 1- \frac{1}{2}\left ( \frac{V_0}{V} \right )^2]   .Here P_0  and V_0  are constant. Calculate the change in temperature of gas if its volume changes from  V_0 \: \: to \: \: 2 V_0 :

 

In the given (V - T) diagram, what is the relation between pressures P1 and P2 ?

During an experiment an ideal gas is found to obey an additional law \mathrm{ \mathrm{VP}^2= }constant. The gas is initially at temp \mathrm{ T } and volume \mathrm{ V }. What will be the temperature of the gas when it expands to a volume \mathrm{ 2 \mathrm{~V} } ?
 

A monatomic ideal gas, initially at temperature \mathrm{T_1} is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \mathrm{T_2}  by releasing the piston suddenly. If \mathrm{L_1\: and \: L_2} are the lengths of the gas column before and after expansion respectively. then \mathrm{\mathrm{T}_1 / \mathrm{T}_2} is given by
 

A gas at atmospheric pressure is contained in a cylinder of volume 80 litre. When it is compressed adiabatically to 20 litre its pressure rises to \mathrm{7 \mathrm{~atm}}. What will be the ratio of specific heats of the gas
 

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If the pressure of an ideal gas in a closed container is increased by 2%, the temperature of the gas increases by5^{\circ} \mathrm{C}. The initial temperature of the gas is

An ideal gas is taken from the state A(p, V) to the state\mathrm{B(p / 2,2 V)} along a straight line path as shown in figure. select the correct statement from the following

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An ideal gas is taken from state A (pressure P, volume V) to state B (pressure P/2, volume 2V) along a straight line in the P − V diagram as shown in fig. Then which is incorrect

Figure shows the P − V diagram for an ideal gas. From the graph we conclude that

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One mole of an ideal gas initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is \mathrm{p_0}. Choose the correct option (s) from the following.

Concepts Covered - 1

Thermodynamic variables and equation of state

Thermodynamic variables : Any thermodynamic system can be described by specifying some of the variables i.e; its pressure(P), volume(V), temperature(T), internal energy(U) and the number of moles(n). These parameters are called thermodynamic variables.

 

Extensive and Intensive properties/variables - 

  • Intensive properties do not depend on the amount of matter that is present. These are bulk properties. Examples of intensive properties are - Density, Temperature ets.
  • Extensive properties are those properties which depend on the amount of matter that is present. Examples of extensive properties are - Volume, Weight etc. 



Equation of state - The relation between the thermodynamic variables (P, V, T) of the system is called equation of state.

For n moles of an ideal gas, equation of state is PV = nRT

For n moles of a real gas equation of state is  (P + \frac{an^{2}}{V^{2}})(V- nb) = nRT

Thermodynamic process : The process of change of state of a system involves change of thermodynamic variables such as pressure P, volume V and temperature T of the system. The process is known as thermodynamic process.

Some important processes are -

(i) Isothermal process (ii) Adiabatic process (iii) Isobaric process (iv) Isochoric process

(v) Cyclic and non-cyclic process (vi) Reversible and irreversible process

Later, we will study all these process one by one in detail.

 

State and path function - 

State or Point function does not depend on the path followed by the thermodynamic process but it depends on the final and initial position of the process.

Path function depends on the path followed by a thermodynamic process and not on the initial and final states of the system. Example of point function is Internal energy and example of path function is Heat and work.

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Thermodynamic variables and equation of state

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Thermodynamic variables and equation of state

Physics Part II Textbook for Class XI

Page No. : 309

Line : 51

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