Recent questions tagged first-law-of-thermodynamics

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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...
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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...
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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...
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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...
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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, $2$ ...
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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...
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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...
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$10$ kg of water at $300$ K is poured into a bucket containing $10$ kg of water at $350$ K . Heat capacity of water is $4.2 \mathrm{~kJ} / \mathrm{kg}$. K . Neglecting an...
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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 ...
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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, ...
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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...
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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...
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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...
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Air $\text{(assumed as an ideal gas)}$ with a mass flow rate of $2.5 \mathrm{~kg} / \mathrm{s}$ enters a horizontal nozzle at $350 \mathrm{~K}, 350 \mathrm{kPa}$ with a v...
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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...
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A piston-cylinder system contains $2$ kg of wet steam at $90^{\circ} \mathrm{C}$ with quality of $0.1$. The piston is loaded with a linear spring. The steam expands to $8...
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\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...
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\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...
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Q. 96 Air at $400 \mathrm{~K}$ and $200 \mathrm{kPa}$ is heated at constant pressure to $600 \mathrm{~K}$. Assuming that the internal energy is a function of temperature ...
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\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...