Physics Thermodynamics

A thermodynamic system is taken from an original state D to an intermediate sate E by the linear pressure shown in the figure. Its volume is then reduced to the original volume from E to F by an isobaric process. The total work done by the gas from D to E to F will be

The ratio of species heats $\left(\frac{C_P}{C_V}\right)$ in terms of degree of freedom (f) is given by:

In a carnot engine, the temperature of reservoir is 527°C and that of sink is 200 K. If the work done by the engine when it transfers heat from reservoir to sink is 12000 kJ, the quantity of heat absorbed by the engine from reservoir is___________* 10⁶ J.

A mixture of hydrogen and oxygen has volume 2000 cm³, temperature 300K, pressure 100 kPa and mass 0.76g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be:

[Take gas constant R = 8.3 JK^-1 mol^-1]

Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, $T_1$ and $T_2$ . The temperature of the hot reservoir of the first engine is $T_1$ . and the temperature of the cold reservoir of the second engine is $T_2$ . $T$ is temperature of the sink of first engine which is also the source for the second engine. How is $T$ related to $T_1$ and $T_2$ , if both the engines perform equal amount of work?

A certain amount of gas of volume V at $27°C$  temperature and pressure $2*10^{7}N{m}^{-2}$  expands isothermally until its volume gets doubled. Late it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be

(Use $\gamma$ = 1.5):

Let ${\eta }_1$  is the efficiency of an engine at T₁ = $447°C$  and T₂ = $147°C$  while ${\eta }_2$  is the efficiency at T₁ = $947°C$  and T₂ $47°C$ . The ratio $\frac{{\eta }_1}{{\eta }_2}$  will be

A Carnot engine operates between two reservoirs of temperatures $900\mathrm{K}$  and $300\mathrm{K}$ . The engine performs $1200\mathrm{J}$  of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle is

A Carnot engine operates between two reservoirs of temperatures  and . The engine performs  of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle is

A Block of ice of mass 120g at temperature $0°C$  is put in 300g of water at $25°C.$  The xg of ice melts as the temperature of the water reaches $0°C.$  The value of x is _________.

[Use specific heat capacity of water = 4200Jkg^-1K^-1, Latent heat of ice = 3.5 * 10⁵Jkg^-1]