Recent questions and answers in First Law of Thermodynamics

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 The plot shows three different paths ($1,2,$ and $3$) connecting the initial equilibrium state $\text{X}$ to the final equilibrium state $\text{Y}$ in a thermodynamic pr...
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Consider any substance whose mass specific heat capacity at constant pressure and mass specific heat capacity at constant volume are $c_{P}$ and $c_{V}$, respectively. If...
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In a mixing chamber hot water enters at a temperature of $80^{\circ} \mathrm{C}$ with a flowrate of $0.5 \mathrm{~kg} / \mathrm{s}$. From another entry, cold water enters...
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A mixture of carbon-dioxide ( $\mathrm{CO}_{2}$ ), nitrogen ( $\mathrm{N}_{2}$ ) and oxygen ( $\mathrm{O}_{2}$ ) are introduced in a rigid and impermeable tank containing...
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A house looses heat at a rate of $150$ $\mathrm{MJ}$ per hour. The temperature outside the house is $-3{ }^{\circ} \mathrm{C}$. The minimum power (in $\mathrm{kW}$) requi...
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 An adiabatic rigid and impermeable tank of volume $10 \mathrm{~m}^{3}$ contains air at $800$ $\mathrm{kPa}$ and $70^{\circ} \mathrm{C}$. The air is allowed to leave the ...
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 Two $\mathrm{kg}$ of a gas is compressed in a process. Pressure $(P)$ and mass specific volume $(v)$ of the gas during the process follows: $P v^{1.2}=$ constant. The te...
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A mixture of helium $\text{(He)}$ and nitrogen ($\mathrm{N}_{2}$) expands in a turbine from $800$ $\mathrm{kPa}$ to $100$ $\mathrm{kPa}$. The mixture composition is $40\%...
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​​​​​​A cylinder of volume $0.1 \mathrm{~m}^{3}$ is filled with nitrogen at $10 \: \mathrm{MPa}$ and $300 \: \mathrm{K}$. Consider nitrogen to be an ideal gas. The cylind...
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​​​​A closed system undergoes a process $1-2$ in which it absorbs $150 \: \mathrm{kJ}$ of energy as heat and does $90 \: \mathrm{kJ}$ of work. Then it follows another pro...
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​​​The inlet and outlet temperatures of the flowing fluid during a steady state flow process are the same as that of the surroundings. If the changes in kinetic and poten...
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​​​​Consider a gas obeying the relation $P(v-b)=R T$, where $b$ and $R$ are constants. Which of the following statement(s) is/are CORRECT about the specific heat capacity...
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A stream of superheated steam ( $2 \mathrm{MPa}, \: 300^{\circ} \mathrm{C}$) mixes with another stream of superheated steam $\left(2 \mathrm{MPa}, \: 400^{\circ} \mathrm{...
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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...
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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 $\_\_\_\_\_\_ \: \mathrm{kJ}$....
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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...
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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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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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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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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...
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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...
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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...
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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 $...
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