A Carnot engine, having an efficiency of *n* = 1/10 as a heat engine, is used as a refrigerator. If the work done on the system is 10 J, what will be the amount of energy absorbed from the reservoir at a lower temperature?

When a system is taken from state *i* to state *f* along the path *iaf*, it is found that *Q* = 50 cal and *W* = 20 cal. Along the path *ibf* *Q* = 36 cal. *W* along the path *ibf* is

Two rigid boxes containing different ideal gases are placed on a table. Box *A* contains one mole of nitrogen at temperature *T _{0}*, while Box

*B*contains one mole of helium at temperature (7/3)

*T*. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature. (Ignore the heat capacity of boxes). Then, what will be the final temperature of the gases,

_{0}*T*, in terms of

_{f}*T*?

_{0}

The work of 146 kJ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by 7ºC. The gas is (R = 8.3 J mol^{-1} K^{-1})

A gaseous mixture consists of 16 g of helium and 16 g of oxygen. What is the ratio C_{p} / C_{v} Vof the mixture?

A system goes from *A* to *B* via two processes I and II as shown in the below figure. If and are the changes in internal energies in the processes I and II respectively, then

The temperature entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

Which of the following is incorrect regarding the first law of thermodynamics?

Two thermally insulated vessels 1 and 2 are filled with air at temperatures *(T _{1}, T_{2} )*, volume

*(V*, and pressure

_{1}, V_{2})*(P*, respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

_{1}, P_{2})

Which of the following statements is correct for any thermodynamic system?

Which of the following statements is correct for any thermodynamic system?

Which of the following statements is correct for any thermodynamic system?

One mole of ideal monoatomic gas is mixed with one mole of diatomic gas . What is for the mixture?

Note: denotes the ratio of specific heat at constant pressure, to that at constant volume.

A Carnot engine takes 3 × 10^{6 }cal of heat from a reservoir at 627°C, and gives it to a sink at 27°C. What is the work done by the engine?

Which of the following parameters does not characterize the thermodynamic state of matter?

temperature / pressure / work / volume

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio for the gas is

Heat cannot by itself flow from a body at lower temperature to a body at the higher temperature, is a statement or consequence of

1 mole of a gas with = 7/5 is mixed with 1 mole of a gas with = 5/3, then what is the value of for the resulting mixture?

Even Carnot engine cannot give 100% efficiency because we cannot

At what temperature is the r.m.s. velocity of a hydrogen molecule is equal to that of an oxygen molecule at 47°C?

Cooking gas containers are kept in a lorry moving with uniform speed. What will be the temperature of the gas molecules inside?

Which statement is incorrect?

Heat given to a body which raises its temperature by 1°C is

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume *V _{1}* and contains ideal gas at pressure

*P*and temperature

_{1}*T*The other chamber has volume

_{1}.*V*and contains ideal gas at pressure P

_{2}*and temperature T*

_{2}*. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be*

_{2}

Area bounded by the curve y = x + sinx and its inverse function between the ordinates x = 0 and in sq. units is

Area of the region bounded by y = |x| and y = 1 - |x| in sq. units is

Area of the region bounded by y = |x| and y=2 in sq. units is

The area bounded by , axis of abscissa and two ordinates corresponding to two points of minima of the function y = f(x) is

The area bounded by and is

The area enclosed between the curve and the co-ordiante axes is

The area (in square units) of the region bounded by

is

The area bounded between the parabolas and , and the straight line y = 2 is

The area bounded by the curves and is

The area bounded by the curves y=cosx and y=sin x between the ordinates x=0 and

The area under the curve with boundaries as X-axis and the ordinates x = 0, x = 3 in sq. units is

The area (in square units) bounded by the curves , x-axis and lying in the first quadrant is

A body is thrown vertically up to reach its maximum height in t seconds. The total time from the time of projection to reach a point at half of its maximum height while returning (in seconds) is

Calculate rms speed of O2 at 273 K and 1 * 10^5Pa pressure. The density of O2 under these conditions is 1.42 kg m–3.

Calculate the pressure exerted on the walls of a 3 litre flask when 7 gms of N2 are introduced into the same at 27°C.

Explain the following

a) Although Au is soluble in aqua-regia, Ag is not

b) Zinc and hot copper is used for recovery of Ag from the complex [Ag(CN)2]–

c) Aluminium metal is frequently used as a reducing agent for extraction of metal such as chromium manganese etc.

d) Partial roasting of sulphide ore is done in the metallurgy of copper.

Cinnabar (HgS) and galena (PbS) on roasting often gives their respective metals but zinc blende (ZnS) does not. Explain.

Aluminium cannot be prepared by the electrolysis of aqueous solution of its salts. Why?

Write short notes on Amalgamation , Hydrometallurgy, Self reduction, Electrolytic reduction?

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute.If a1 =a2 =...=a10 =150 and a10, a11,....arein an A.P. with common difference –2, then the time taken by him to count all notes is

The line L given by passes through the point (13, 32). The line K is parallel to L and has the equation

.Then the distance between L and K is?

The area bounded by the curves y = cosx and y = sinx between the ordinates x = 0 and x = 3π/2 is

Solution of the differential equation cosxdy = y(sinx – y)dx, 0 < x < p/2 is

Consider the system of linear equations

x1 + 2x2 + x3 = 3

2x1 + 3x2 + x3 = 3

3x1 + 5x2 + 2x3 = 1

The system has

If and are the roots of the equation