List of top Questions asked in TS PGECET- 2026

Applying a pressure drop across a capillary results in a volumetric flow rate `Q' under laminar flow conditions. The flow rate, for the same pressure drop, in a capillary of the same length but half the radius is:

For an ideal fluid flow the Reynolds number is

When the water flows over a rectangular suppressed weir, the pressure beneath the nappe is

Ideal refrigeration cycle is:

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

A process flow sheet analysis results in the degree of freedom having a value of $2$. Which one of the following steps must be carried out?

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:

The thermal efficiency of a reversible heat engine operating between two given thermal reservoirs is $0.4$. The device is used either as a refrigerator or as a heat pump between the same reservoirs. Then the coefficient of performance as a refrigerator $(\text{COP})_\text{R}$ and the coefficient of performance as a heat pump $(\text{COP})_\text{HP}$ are:

Absolute zero temperature is:

Which one of the following does not change during a phase change such as melting, vaporization and sublimation?

Clapeyron equation deals with:

The composition of Air in weight percent is:

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:

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:

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 $f(1.8) = -1.3024$):

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:

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 $f(3) =$

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 $\int_0^\infty x^2 f(x) \, dx =$

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

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 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: