List of top Questions asked in Telangana State Post Graduate Engineering Common Entrance Test

Modified Raoult’s law is written as (where \( \gamma \) is the activity coefficient)
Newton’s law of viscosity relates
NRTL equation is a ....parameter model
Gibbs free energy at constant pressure and temperature under equilibrium conditions is
The mixing process is
The equation \( PV = nRT \) is best obeyed by gases at
In an adiabatic process
The criteria for phase equilibria is
Fundamental principle of refrigeration is based on ------------ law of thermodynamics
Sometimes in chemical processes, a part of the outlet stream is rejected as waste in order to keep the impurity level in the system within limits. This phenomenon is termed as
The degrees of freedom for a system consisting a gaseous mixture of \( N_2 \), \( H_2 \), and \( NH_3 \) is
A continuous random variable \(X\) has a probability density function \( f(x) = 3x^2, \ 0 \leq x \leq 1 \). If \( P(X \leq a) = P(X>a) \), then the value of 'a' is
If the random variable \( X \) takes the values 1, 2, 3, and 4 such that \( 2P(X=1) = 3P(X=2) = P(X=3) = 5P(X=4) \), then the mean of \( X \) is
In a chemical reaction the material balance calculation is based on
A bypass stream in a chemical process is useful, because it
The substance that appears in one incoming stream and outgoing stream which serves as reference for computations is called as a
The particular integral of \( \frac{d^2y}{dx^2} + y = \cos(2x - 1) \) is
The divergence of the vector field \( \vec{F} = yz\,\hat{i} - zx\,\hat{k} \) at \( (-2, 0, 1) \) is
The approximate solution of the initial value problem \( \frac{dy}{dx} = 1 + xy \), \( y(0) = 1 \) by Picard’s method will be
The equation \( x^3 - 6x - 4 = 0 \) has one real root between 2 and 3. The 2ndapproximation to the root of the equation by bisection method will be
The Laplace transform \( \mathcal{L}\{t^2 \sin 2t\} \) is
The value of \( \int_0^1 \int_y^{\sqrt{y}} yx \, dxdy \) is
Evaluate \( \log_{e^{2000}} e^{2021} \cdot \log_{e^{2021}} e^{2022} \cdot \log_{e^{2022}} e^{2023} \cdot \log_{e^{2023}} e^{2024} \)
If the characteristic polynomial of the matrix \( A_{3\times3} \) is given by \( f(\lambda) = \lambda^3 - 10\lambda^2 + 27\lambda - 18 \), then trace of A and determinant of A respectively are
If the equations $x^2+2x+K=0$ and $x^2+Kx+2=0$ have one root in common, then the product of the other two roots is?