List of top Questions asked in AP EAPCET- 2026

The value of the integral \[ \int_{-2}^{2} x^4 (4 - x^2)^{\frac{7}{2}} \, dx \] is equal to:
248 g of ethylene glycol (\( C_2H_6O_2 \)) is added to 200 g of water to prepare antifreeze. What is the molality of the resultant solution?
Match the Xenon compounds in List-I with their molecular geometries in List-II: [h] {|l|l|} List - I (Compound) & List - II (Geometry)
(A) XeF\(_2\) & (I) Trigonal pyramidal
(B) XeO\(_3\) & (II) Distorted octahedral
(C) XeF\(_6\) & (III) Linear
(D) XeOF\(_4\) & (IV) Square pyramidal
In graphite, the C-C bond length within the layer is X pm and the distance between two adjacent layers is Y pm. X and Y respectively are:
Match the elements in List-1 with their characteristic flame colors in List-2: [h] {|l|l|} List -1 (Element) & List -2 (Flame Color)
(A) Na & (I) Apple green
(B) Ca & (II) yellow
(C) Ba & (III) Brick red
(D) Li & (IV) Crimson red
Match the water softening methods in List-1 with the chemicals/reagents in List-2: [h] {|l|l|} List -1 (Method) & List -2 (Reagent)
(A) Calgon method & (I) RSO\(_3\)H
(B) Ion exchange method & (II) Ca(OH)\(_2\)
(C) Clark's method & (III) NaAlSiO\(_4\)
(D) Synthetic resin method & (IV) Na\(_6\)(PO\(_3\))\(_6\)
For a gas, \( C_p - C_v = R \). If \( C_v = 2R \), then \( C_p \) is:
A Carnot engine operates between 600 K and 300 K. Efficiency is:
A gas expands from volume 2 m\(^3\) to 6 m\(^3\) at constant pressure 100 Pa. Work done is:
A gas absorbs 500 J heat and does 200 J work. Change in internal energy is:
A body cools from 80°C to 60°C in 5 minutes. Surrounding temperature is 20°C. Time to cool from 60°C to 40°C is:
The value of the integral \( \int_{-2\pi}^{2\pi} \sin^4 x \cos^6 x \, dx \) is equal to:
The value of the integral \( \int_{0}^{\pi/2} \sin^6 x \cos^4 x \, dx \) is equal to:
The value of the integral \( \int_{0}^{32\pi} \sqrt{1 - \cos 4x} \, dx \) is equal to:
The value of the integral \[ \int_{-\frac{\pi}{8092}}^{\frac{\pi}{8092}} \frac{\sec(2023x)}{1 + (2023)^{2023x}} \, dx \] is equal to:
The value of the integral \( \int_{-\frac{\pi}{15}}^{\frac{\pi}{15}} \frac{\cos 5x}{1 + e^{5x}} \, dx \) is equal to:
The solubility of \(Mg_3(PO_4)_2\) is \(S\) mol L\(^{-1}\). The solubility product is given by the relation:
Which one of the pairs will form a buffer solution?
The conjugate acid of $NH_2^-$ is:
Consider the equilibrium reactions:

\(H_3PO_4 \rightleftharpoons H^+ + H_2PO_4^-\) \((K_1)\)
\(H_2PO_4^- \rightleftharpoons H^+ + HPO_4^{2-}\) \((K_2)\)
\(HPO_4^{2-} \rightleftharpoons H^+ + PO_4^{3-}\) \((K_3)\)

The equilibrium constant, \(K_c\), for the following dissociation:

\(H_3PO_4 \rightleftharpoons 3H^+ + PO_4^{3-}\)

is:
The number of extensive and intensive properties in the list given below is respectively:
Density, enthalpy, mass, temperature, volume, pressure
Heat flows through a rod of length 1 m and area 1 m$^2$. Temperature difference = 10 K. If thermal conductivity = 5 W/mK, heat flow per second is:
Heat required to raise temperature of 2 kg substance by 5°C is 1000 J. Specific heat is:
A rod of length 1 m expands by 1 mm when temperature increases by 100°C. Coefficient of linear expansion is:
A 100 g metal at 80°C is placed in 100 g water at 20°C. Final temperature is 40°C. Find specific heat of metal.