Recent questions in Thermodynamics

A particular temperature scale is obtained according to the relation:$$t=a e^{\alpha}+b$$where $a$ and $b$ are constants, and $t$ is in ${ }^{\circ} \mathrm{C}$.The therm...

In a piston cylinder assembly, one $\mathrm{kmol}$ of an ideal gas is compressed from an initial state of $200 \: \mathrm{kPa}$ and $400 \:\mathrm{ K}$ to a final state o...

Consider that specific heat $\left(0\right.$ to $\left.50^{\circ} \mathrm{C}\right)$ of water, water vapour and air remains constant: $4.48,1.88$ and $1.0 \mathrm{~kJ} /\...

One kg of dry air at $15^{\circ} \mathrm{C}$ is isothermally compressed to one-tenth of its initial volume. The work done on the system is $\_\_\_\_\_\_ \: \mathrm{kJ}$....

The solar constant for the Earth is $1368 \mathrm{~W} \mathrm{~m}^{-2}$. Consider the planet Jupiter whose mass is $320$ times that of the Earth and distance from the Sun...

A heat source at temperature $T_{H}$ transfers the same amount of heat to a sink under the following situations:Case A: Sink is at temperature $T_{L, 1}$Case B: Sink is a...

Given $v$ is the molar specific volume, $P$ is the pressure, $T$ is the temperature, $R$ is the Universal gas constant, and $a, b$ are van der Waal's constants.The van de...

The temperature of $10$ g of liquid water $\left(c_{p}=4.2 \mathrm{~J} / \mathrm{g} . \mathrm{K}\right)$ in an insulated container is raised by $5$ K by stirring. The amo...

The figure shows four different processes labeled $1,2,3$, and $4$ for the same closed system containing an ideal gas. The curves labeled $T_{1}, T_{2}$, and $T_{3}$ are ...

A power plant operates on a simple ideal Rankine cycle. If superheating is added to this cycle, then which one of the following options is CORRECT ?Pump work increases, t...

A closed system containing an unknown substance undergoes an adiabatic process governed by the relation $P V^{\gamma}=$ constant, where $P$ is pressure, $V$ is volume, an...

Two rigid, impermeable containers $A$ and $B$ are filled with an ideal gas. They are allowed to exchange heat only with each other and not with the surroundings. $P, V, N...

Following data is for an actual vapour compression refrigeration cycle. Enthalpy at compressor inlet: $246 \mathrm{~kJ} / \mathrm{kg}$Enthalpy at compressor exit: $286 \m...

A rigid tank, initially at $1$ bar and $300$ K, contains $5$ moles of $\mathrm{O}_{2}, 4$ moles of $\mathrm{N}_{2}$, and 3 moles of $\mathrm{H}_{2}$. From this tank, $2$ ...

A fixed mass of an ideal gas undergoes two different cycles $\mathbf{M}$ and $\mathbf{N}$ as shown in the Pressure $(P)$ - Volume $(V)$ diagrams. Based on the information...

In a graph with Helmholtz function on the $y$-axis and volume on the $x$-axis, the slope of the isothermal curves for a finite volume system containing an ideal gas isalw...

Match each quantity in Column $\mathbf{M}$ with the appropriate relation from Column $\mathbf{N}$. Here, $\psi$ is Helmholtz function, $P$ is pressure, $v$ is specific vo...

A Carnot engine operates between two temperatures $T_{1}$ and $T_{2}$ such that $T_{1}>T_{2}$. If the thermal efficiency of the engine is to be increased by changing one ...

The equation of state for a non-ideal gas is\[\frac{P v}{R T}=1+B P\]where $P$ is pressure, $v$ is specific volume, $R$ is the specific gas constant, $T$ is temperature, ...

Consider the following data from a Brayton cycle.Enthalpy at inlet to turbine; $1400 \mathrm{~kJ} / \mathrm{kg}$Enthalpy at exit of turbine: $880 \mathrm{~kJ} / \mathrm{k...

An ideal gas undergoes a series of reversible steady state, steady flow processes between states $1,2$, and $3$. Process $1 \rightarrow 2$ satisfies the relation $P+800 v...

The melting point of a substance at $1$ bar is $273$ K . The following property data is available for this substance at $1$ bar.Density of the solid phase$900 \mathrm{~kg...

A rigid insulated tank containing an ideal gas at $300$ K and $1$ bar is being filled from an external pressurized line supplying the same gas at $300$ K and $10$ bar. Wh...

Q. 63 Two moles of a monoatomic ideal gas at 10 atm and $300 \mathrm{~K}$ is expanded isothermally and reversibly to a pressure of $2 \mathrm{~atm}$. The absolute value o...

\begin{tabular}{|l|ll}Q.88 & $\mathbf{A}$ & \begin{tabular}{c}The number of properties required to fix the state of a system is given by \\'state postulate'. \\$\mathbf{R...

\begin{tabular}{|l|l|}\hline Q.89 & Which of the following is an extensive property of a system? \\\hline& Density \\\hline& Pressure \\\hline& Temperature \\\hline& Tota...

\begin{tabular}{|c|c|}\hline Q. 90 & \begin{tabular}{l}A tank of volume $V$ contains homogeneous mixture of two ideal gases, A and B at \\a temperature $T$ and a pressure...

\begin{tabular}{|c|c|}\hline Q. 94 & \begin{tabular}{l}An insulated rigid closed tank of $2 \mathrm{~m}^{3}$ internal volume contains saturated liquid- \\vapor mixture of...

Q. 95 A rigid closed tank contains $2 \mathrm{~kg}$ of an ideal gas at $500 \mathrm{kPa}$ and $350 \mathrm{~K}$. A valve is opened, and half of the mass of the gas is all...

\begin{tabular}{|c|c|}\hline Q. 97 & \begin{tabular}{l}A rigid closed tank having a volume of $2 \mathrm{~m}^{3}$ contains $0.1 \mathrm{~m}^{3}$ of saturated liquid \\wat...

\begin{tabular}{|l|l|}Q.98 & \begin{tabular}{l}An ideal Diesel cycle has a compression ratio of 20 and cut-off ratio of 1.5. At the \\beginning of the compression stroke,...

\begin{tabular}{l|l}Q. 99 & \begin{tabular}{l}A $5 \mathrm{~kg}$ metal block $\left(c_{p}=0.5 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}\right)$ at $373 \mathrm{~K}$ is submer...

Q. 101A piston-cylinder device initially contains $1 \mathrm{~m}^{3}$ of air at $200 \mathrm{kPa}$ and $25^{\circ} \mathrm{C}$. Air expands at constant pressure while a h...

Q. 102Steam at $2 \mathrm{MPa}$ and $300^{\circ} \mathrm{C}$ steadily enters a nozzle of inlet diameter of $20 \mathrm{~cm}$. Steam leaves the nozzle with a velocity of $...

Q. 103 A rigid tank of $2 \mathrm{~m}^{3}$ internal volume contains $5 \mathrm{~kg}$ of water as a saturated liquid-vapor mixture at $400 \mathrm{kPa}$. Half of the mass ...

Q. 104 Consider a spark ignition engine which operates on an ideal air-standard Otto cycle. It uses a fuel which produces $44 \mathrm{MJ} / \mathrm{kg}$ of heat in the en...

Q. 105 A refrigerator operates on an ideal vapor compression cycle between the pressure limits of $140 \mathrm{kPa}$ and $800 \mathrm{kPa}$. The working fluid is the refr...

Q. 106A steam power plant operates on a simple ideal Rankine cycle. The condenser pressure is $10 \mathrm{kPa}$ and the boiler pressure is $5 \mathrm{MPa}$. The steam ent...

Q. 107In an air-conditioning system, air enters at $20{ }^{\circ} \mathrm{C}$ and $30 \%$ relative humidity at a steady rate of $30 \mathrm{~m}^{3} / \mathrm{min}$ in a h...

Q. 109In a liquid-vapour phase change process, $\left(\frac{\mathrm{d} P}{\mathrm{~d} T}\right)_{\text {sat }}$ at $100{ }^{\circ} \mathrm{C}$ for saturated water is $375...