# The equation that represents Van’t Hoff general equation is.

A) $\pi = \dfrac{n}{V}RT$

B) $\pi = nRT$

C) $\pi = \dfrac{V}{n}RT$

D) $\pi = nVRT$

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**Hint:**We have to remember that the Van’t Hoff derives an equation based on the change in the equilibrium constant and change in temperature in a chemical reaction given the standard enthalpy change. With the help of Van’t Hoff equation, in the thermodynamic system we can explain the changes that occur in state function.

**Complete step by step answer:**

Think about a weakened arrangement of a volume V (in dm3) containing W grams of a substance having atomic weight M at an outright temperature T. At that point, centralization of the arrangement, \[C = n/V\] and No. of moles of the substance, \[n = W/M\].

By van't Haff: Boyle's law, at a consistent temperature, the osmotic weight of an answer is legitimately relative to its molar fixation or conversely corresponding to the volume of the arrangement. Subsequently,

\[\pi \propto C\] (When temperature is steady)

Van't Hoff Charle's law at the consistent focus the osmotic weight of a weaken arrangement is straightforwardly relative to the outright temperature (T) for example

\[\pi \propto T\]

\[\pi \propto CT\]

\[\pi = CRT\]

\[\pi = \dfrac{n}{V}RT\]

Where, $\pi $ is pressure, T is temperature, R is a gas constant, and n is the number of moles and V is volume.

The condition is called van't Hoff general arrangement condition.

R is steady of proportionality, likewise called general arrangement consistent or gas consistent.

**Therefore, the option (A) is correct.**

**Note:**

-We all know depression in melting point is directly associated with van't Hoff factor \[\left( i \right)\] consistent with which greater the worth of van't Hoff factor greater are going to be Depression in melting point.

-We can calculate the melting point depression using the formula,

\[\Delta Tf = i \times Kf \times molality\]

Where , the melting point depression is denoted as $\Delta Tf$ , \[Kf\] is that the melting point depression constant, and that \[i\] is that the van ‘t Hoff factor.

-The van't Hoff factor \[\left( i \right)\] is the total number of ions after dissociation or association or the total number of ions before dissociation or association.