Recent questions tagged first-law-of-thermodynamics

A gas is pressurized in a vertical frictionless piston-cylinder device, as shown in the figure. The piston has a mass of $4$ kg and a cross-sectional area of $40 \mathrm{...

 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...

Match the Thermodynamic laws in Column $\text{I}$ with the description given in Column $\text{II}$${\text{Column I}}$${\text{Column II}}$$\text{P}$Zeroth law$1$Entropy of...

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...

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...

A stream of moist air at $101$ $\mathrm{kPa}$ and $25^{\circ} \mathrm{C}$ undergoes a constant pressure process such that its dry bulb temperature increases and specific ...

Consider a real gas, which obeys the following equation-of-state:$$v=\dfrac{R T}{P}+C_{1}-\dfrac{C_{2}}{P v},$$where $v$ is the mass specific volume, $P$ is the pressure,...

 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 ...

 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...

Consider a single component fluid at saturation conditions having the following properties.Latent heat of vaporization, $h_{f g}=39.6 \times 10^{3} \mathrm{~kJ} / \mathrm...

 It is given that: $\left(\dfrac{\partial h}{\partial T}\right)_{P}=c_{p}$ and $\left(\dfrac{\partial h}{\partial P}\right)_{T}=(v-\beta T v)$. Here $h$ is the mass speci...

A stream of moist air enters an adiabatic saturator at $45^{\circ} \mathrm{C}$ and $101$ $\mathrm{kPa}$ and leaves as a saturated mixture at $30^{\circ} \mathrm{C}$. Make...

For a given temperature difference between the top and bottom surfaces of a flat metal plate, Fourier's law of heat conduction implies thattemperature gradient increases ...

The mass (in $\mathrm{kg}$) of dry air in a room, measuring $10 m \times 7 m \times 3 m$, is $\_\_\_\_$. (rounded off to two decimal places)[Density of dry air is $1.029 ...

The temperature of a dry air parcel is $20^{\circ} \mathrm{C}$ at a height of $150$ $\mathrm{m}$ with atmospheric pressure of $1000$ $\mathrm{hPa}$. If the air parcel ris...

A fuel with composition by mass is given as $78 \%$ carbon $(\mathrm{C}), 16 \%$ hydrogen $\left(\mathrm{H}_{2}\right)$, $3.2 \%$ sulphur $(\mathrm{S}), 1.6 \%$ oxygen $\...

If solid tin is in equilibrium with its vapor, the degree of freedom is (answer in integer) $\_\_\_\_\_\_$

The standard free energy change for the reaction, $\mathrm{SO}_{2}+\frac{1}{2} \mathrm{O}_{2} \rightleftharpoons \mathrm{SO}_{3}$ at equilibrium is given by $\Delta \text...

A bar of length $\text{L}=1 \mathrm{~m}$ is fixed at one end. Before heating its free end has a gap of $\delta=0.1 \mathrm{~mm}$ from a rigid wall as shown in the figure....

​​​A tank is divided into two compartments with one compartment containing a gas at a given pressure, while the second is completely evacuated. If the partition is remove...