Heat and Thermodynamics

Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gases will be

A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to the final state f along two different paths iaf and ibf, as schematically shown in the figure. The work done by the system along the paths af, ib and...

One mole of a monatomic ideal gas is taken along two cyclic processes E \(\to\) F \(\to\) G \(\to\) E and E \(\to\) F \(\to\) H \(\to\) E as shown in the PV diagram. The processes involved are purely isochoric, isobaric, isothermal or adiab...

The figure below shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuously from 0 to 500 K at a constant rate. Ignoring any volume change, the following statemen...

Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their
partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their
densities is

Two rectangular blocks, having identical dimensions, can be arranged in either configuration-I or configuration-II as shown in the figure. One of the blocks has thermal conductivity \(\kappa\) and the other 2\(\kappa\). The temperature di...

Two moles of ideal helium gas are in a rubber balloon at 30oC. The balloon is fully expandable
and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35oC. The amount of heat...

A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. The ratio of the rms speeds $$\left( {{{{v_{rms}}\left( {helium} \right)} \over {{v_{rms}}\left( {\arg ...

Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductively. The first and third plates are maintained at temperatures 2T and 3T, respec...

One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV diagram. Column II give the characteristics involved in the cycle. Match them with each of the processes given in Column I.











Column I

...

Steel wire of lenght ‘L’ at 40oC is suspended from the ceiling and then a mass ‘m’ is hung from its free
end. The wire is cooled down from 40oC to 30oC to regain its original length ‘L’. The coefficient of linear
thermal expansion of the st...

5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be
T1, the work done in the process is

A diatomic ideal gas is compressed adiabatically \({1 \over {32}}\) of its initial volume. If the initial temperature of the gas is Ti (in Kelvin) and the final temperature is a Ti, the value of \(a\) is

Two spherical bodies A (radius 6 cm ) and B (radius 18 cm ) are at temperature T1 and T2, respectively.
The maximum intensity in the emission spectrum of A is at 500 nm and in that of B is at 1500 nm.
Considering them to be black bodies, wh...

A piece of ice (heat capacity = 2100 J kg-1 oC-1 and latent heat = 3.36 \(\times\) 105 J kg-1 ) of mass m grams is at
- 5 oC at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the
ice-water mix...

A real gas behaves like an ideal gas if its

One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is P0. Choose the correct option(s) from the following:

A metal rod AB of length 10x has its one end A in ice at 0\(^\circ\)C and the other end B in water at 100\(^\circ\)C. If a point P on the rod is maintained at 400\(^\circ\)C, then it is found that equal amounts of water and ice evaporate an...

Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II:

.tg {border-collapse:collapse...

The figure shows the PV plot of an ideal gas taken through a cycle ABCDA. The part ABC is a semicircle and CDA is half of an ellipse. Then,

\(C_V\) and \(C_P\) denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the 4 \(\times\) 4 ma...

An ideal gas is expanding such that PT\(^2\) = constant. The coefficient of volume expansion of the gas is

STATEMENT 1
The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume.
Because
STATEMENT 2
The molecules of a gas collide with each other and the velo...

The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as sho...

The piston is now pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be

Heat given to the processes is positive. Match Column I with Column II:

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflo...

In an insulated vessel, 0.05 kg steam at 373 K and 0.45 kg of ice at 253 K are mixed. Then, find the final temperature of the mixture.

In a dark room with ambient temperature $\mathrm{T}_0$, a black body is kept at a temperature T . Keeping the temperature of the black body constant (at T), sunrays are allowed to fall on the black body through a hole in the roof of the dar...

A cylinder of mass \(1 \mathrm{~kg}\) is given heat of \(20000 \mathrm{~J}\) at atmospheric pressure. If initially temperature of cylinder is \(20^{\circ} \mathrm{C}\), find
(A) The final temperature of the cylinder;
(B) The work done by th...