TS EAMCET · Chemistry · States of Matter

The compressibility factor $(Z)$ of a gas at critical state is $\left(T_c=\frac{8 a}{27 R b} ; p_c=\frac{a}{27 b^2} ; V_c=3 b\right)$

A $\frac{8}{3}$
B $1$
C $\frac{3}{8}$
D $0.5$

Verified Solution

Answer & Solution

Correct Answer

(C) $\frac{3}{8}$

Step-by-step Solution

Detailed explanation

Given, $\begin{aligned} & T_c=\frac{8 a}{27 R b} ; \\ & p_c=\frac{a}{27 b^2} ; V_c=3 b\end{aligned}$ $\because$ Compressibility factor $(Z)=\frac{p V}{R T}$ (Z) at critical state $=\frac{p_c \cdot V_c}{R \cdot T_c}$…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Observe the following complex ions

$\left[\mathrm{Mn}(\mathrm{CN})_6\right]^{3-}$	$\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3-}$	$\left[\mathrm{CoF}_6\right]^{3-}$	$\left[\mathrm{Co}\left(\mathrm{C}_2 \mathrm{O}_4\right)_3\right]^{3-}$
A	B	C	D

Identify the option in which the unpaired electrons in the complex ions are in correct increasing order

TS EAMCET 2025 Medium

Match the following

Column-1 Reaction		Column-2 Main product
A)	$4 {FeCl}_{3} + 3 K_{4} [Fe (CN)_{6}] \to$	I)	${Fe}_{4} {[Fe (CN)_{6}]}_{3}$
B)	${ZnCl}_{2} + 4 NaOH \to$	II)	${FeCl}_{2}$
C)	$2 {FeCl}_{3} + H_{2} S \to$	III)	$Zn (OH) Cl$
		IV)	${Fe}_{3} {[Fe (CN)_{6}]}_{3}$
		V)	${Na}_{2} {ZnO}_{2}$
		VI)	$FeS$

TS EAMCET 2021 Hard

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The compressibility factor \((Z)\) of a gas at critical state is \(\left(T_c=\frac{8 a}{27 R b} ; p_c=\frac{a}{27 b^2} ; V_c=3 b\right)\)

Answer & Solution

Step-by-step Solution

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