List of top Questions asked in TS PGECET

Clapeyron equation deals with:

Ideal refrigeration cycle is:

Which one of the following is true for a throttling process?

A cyclic engine exchanges heat with two reservoirs maintained at $100^\circ\text{ C}$ and $300^\circ\text{ C}$ respectively. The maximum work (in J) that can be obtained from $1000\text{ J}$ of heat extracted from the hot reservoir is:

A butane isomerization process produces $70\text{ kmol/h}$ of pure iso-butane. A purge stream removed continuously contains $85\%$ n-butane and $15\%$ impurity (mole %). The feed stream is n-butane containing $1\%$ impurity (mole %). The flow rate of the purge stream will be:

The weight fraction of methanol in an aqueous solution is $0.64$. The mole fraction of methanol $X_M$ satisfies:

The composition of Air in weight percent is:

The molar composition of a gas is $10\%\text{ }\text{H}_2$, $10\%\text{ }\text{O}_2$, $30\%\text{ }\text{CO}_2$ and balance $\text{H}_2\text{O}$. If $50\%$ of the $\text{H}_2\text{O}$ condenses, the final mole percent of $\text{H}_2$ in the gas on a dry basis will be:

The net heat evolved or absorbed in a chemical process is the same whether the reaction takes place in one or in several steps is known as:

Absolute zero temperature is:

If the integrating factor of $\frac{dy}{dx} + \left[(x^2 - 2x)\cos x + 2(x - 1)\sin x\right]y = x^2$ is $e^{f(x)}$, then $f(3) =$}

The solution of $\frac{dy}{dx} - y - 2x + x^2 = 0$, $y(0) = 1$ at $x = 0.2$ using Euler's method is:

By assuming that the solution to the equation $x^4 - x - 10 = 0$ lies between $x = 1.8$ and $x = 2$, then the next approximate solution by Regula-falsi method is (Take $f(1.8) = -1.3024$):

The value of $\oint_C x \, dy - y \, dx$, where $C$ is the boundary of the rectangular region formed by $x = 5$, $x = 12$, $y = 0$, and $y = 8$ is:

Laplace transform of $\int_0^t u^2 \sin(t - u) \, du$ is:

Two dice are thrown simultaneously. Let $X$ be the random variable representing the absolute difference of the numbers appeared on the dice. The mean of $X$ is:

If $f(x)$ is the probability density function of an exponential distribution and $\frac{1}{\lambda}$ is its mean, then $\int_0^\infty x^2 f(x) \, dx =$}

If $A = \begin{bmatrix} 2 & 1 & 2 \\ 6 & 2 & 11 \\ 3 & 3 & 2 \end{bmatrix}$ and $P = \begin{bmatrix} 1 & 0 & 1 \\ 2 & 1 & 2 \\ 0 & 1 & 5 \end{bmatrix}$, then $\left|P^{-1}AP - 2I\right| =$}

The system of equations $2x + y = 2z$, $y + z = 0$, $3y + \alpha z = x$ has:

A function satisfying the conditions of Lagrange's mean value theorem on the interval $[1, 5]$ is:

The activities of W, X, Y and Z are the direct precursors of A. What is the earliest starting time for A, if the activities of earliest finishing times are 12, 15, 10 and 6?

In a graphical solution of solving Linear Programming Problem to convert inequalities into equations, they

Which of the cost estimates and performance measures are not used for economic analysis of a queuing system?

The penalty of a row in a transportation problem is obtained by

Average stock level required to maintain the inventory is calculated as