Single Choice

The internal energy change when a system goes from state $$A$$ to $$B$$ is $$40 \ kJmole^{-1}$$. If the system goes from $$A$$ to $$B$$ by a reversible path and returns to state $$A$$ by an irreversible path, what would be the net change in internal energy?

A> $$40 \ kJ$$
B< $$40 \ kJ$$
C$$Zero$$
Correct Answer
D$$40 \ kJ $$

Solution

Internal energy $$= \triangle U= nC_v \triangle T$$ (It is a state function i.e independent of it’s path)

Let the state $$A$$ be $$(P_1, \ V_1, \ T_1)$$ and B be $$(P_2, \ V_2, \ T_2)$$

When the system goes from $$A$$ to $$B$$ (reversibly) and $$B$$ to $$A$$ (irreversibly). So, final state comes to be $$A (P_1, \ V_1, \ T_1)$$.

$$\triangle U_{A \rightarrow B \rightarrow A}= nC_v \triangle T= nC_v (T_2-T_1)=0$$

SIMILAR QUESTIONS

Chemical Thermodynamics

Which one of the following statements is false?

Chemical Thermodynamics

Why are state functions important in chemistry?

Chemical Thermodynamics

Which of the following is not a state function?

Chemical Thermodynamics

Among the following, the state function(s) is(are):

Chemical Thermodynamics

Choose the correct answer. A thermodynamic state function is a quantity :

Chemical Thermodynamics

Like $$U$$ and $$H, S$$ is also a state function.

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Which one of the following quantity is dependent on path?

Chemical Thermodynamics

Entropy change of a system is determined by the initial and final states only, irrespective of how the system has changed its states. If true enter 1 else 0

Chemical Thermodynamics

Which of the following is a state function and also an extensive property?

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