Question:
Which of the following is not a state function?
Which of the following is not a state function?
Show Hint
Remember:
\[
\text{State Functions} = U,\ H,\ S,\ G,\ P,\ V,\ T
\]
\[
\text{Path Functions} = q\ (\text{heat}),\ W\ (\text{work})
\]
State functions depend only on the state, whereas path functions depend on the process followed.
Updated On: Jul 18, 2026
- Internal Energy
- Work
- Enthalpy
- Entropy
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Understand the meaning of a state function.
A state function is a thermodynamic property whose value depends only on the initial and final states of the system and is independent of the path followed during the process.
Examples of state functions are: \[ U \ (\text{Internal Energy}) \] \[ H \ (\text{Enthalpy}) \] \[ S \ (\text{Entropy}) \] \[ G \ (\text{Gibbs Free Energy}) \]
Step 2: Examine Internal Energy.
Internal energy (\(U\)) depends only on the state of the system and not on the path by which the state is achieved.
Therefore, Internal Energy is a state function.
Step 3: Examine Enthalpy and Entropy.
Enthalpy (\(H\)) and Entropy (\(S\)) are thermodynamic properties that depend only on the current state of the system.
Hence, Enthalpy and Entropy are state functions.
Step 4: Examine Work.
Work (\(W\)) depends on the path followed during a process.
For example, expansion of a gas can occur through different paths, and the amount of work done will vary for each path even if the initial and final states remain the same.
Therefore, Work is a path function. and not a state function.
Step 5: Final conclusion.
Among the given options, the quantity that is not a state function is \[ \boxed{\text{Work}} \] Hence, option (2) is correct.
A state function is a thermodynamic property whose value depends only on the initial and final states of the system and is independent of the path followed during the process.
Examples of state functions are: \[ U \ (\text{Internal Energy}) \] \[ H \ (\text{Enthalpy}) \] \[ S \ (\text{Entropy}) \] \[ G \ (\text{Gibbs Free Energy}) \]
Step 2: Examine Internal Energy.
Internal energy (\(U\)) depends only on the state of the system and not on the path by which the state is achieved.
Therefore, Internal Energy is a state function.
Step 3: Examine Enthalpy and Entropy.
Enthalpy (\(H\)) and Entropy (\(S\)) are thermodynamic properties that depend only on the current state of the system.
Hence, Enthalpy and Entropy are state functions.
Step 4: Examine Work.
Work (\(W\)) depends on the path followed during a process.
For example, expansion of a gas can occur through different paths, and the amount of work done will vary for each path even if the initial and final states remain the same.
Therefore, Work is a path function. and not a state function.
Step 5: Final conclusion.
Among the given options, the quantity that is not a state function is \[ \boxed{\text{Work}} \] Hence, option (2) is correct.
Was this answer helpful?
0
0
Top AP EAPCET Chemistry Questions
- The four quantum numbers of the valence electron of potassium are :
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
- In which of the following the election gain enthalpy of elements is correctly arranged?
- The radii of $ \text{F,}{{\text{F}}^{-}}\text{O} $ and $ {{\text{O}}^{2-}} $ are in the order
- Which of the following has the highest first ionization potential?
View More Questions
Top AP EAPCET Thermodynamics Questions
- For one mole of an ideal gas, three isochors were obtained at \(V_1, V_2\) and \(V_3\) respectively. Their slopes are \(m_1, m_2\) and \(m_3\). If \(V_1<V_2<V_3\), then the correct relationship of slopes is:
- The enthalpy change (ΔH) for the reaction N2(g) + 3H2(g) → 2NH3(g) is -92 kJ/mol.
What is the enthalpy change for the decomposition of 1 mol of NH3(g) into its elements? - Identify the correct statements from the following. (i). For adiabatic process, $\Delta U = W_{adiabatic$} (ii). Work is a path function. (iii). Volume is an extensive property.
- Hydration enthalpy of which of the following ions is highest?
- The standard Gibbs energy ($\Delta G^\ominus$) for the following reaction is A(s) + B$^{2+}$ (aq) $\rightleftharpoons$ A$^{2+}$ (aq) + B(s), K$_c$=10$^{12}$ at 25$^\circ$C (K$_c$= equilibrium constant)
View More Questions
Top AP EAPCET Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- The four quantum numbers of the valence electron of potassium are :
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
View More Questions