Home
Class 12
PHYSICS
n(1) and n(2) moles of two ideal gases (...

`n_(1)` and `n_(2)` moles of two ideal gases (mo1 wt `m_(1)` and `m_(2))` respectively at temperature `T_(1)K` and `T_(2)K` are mixed Assuming that no loss of energy the temperature of mixture becomes .

Text Solution

Verified by Experts

Total energy of molecules of first gas =`3/2 n_(1)kT_(1)`,
Total energy of molecules of second gas =`3/2 n_(2)kT_(2)`
Let temperature of mixture be `T` then total energy of molecules of mixture =`3/2 k(n_(1) + n_(2))T`
`therefore (3)/(2) (n_(1)+n_(2))kT =3/2 k(n_(1)T_(1) +n_(2)T_(2)) implies T=(n_(1)T_(1) + n_(2)T_(2))/((n_(1)+n_(2)))`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise SOME WORKED OUT EXAMPLES|84 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

Three perfect gases at absolute temperature T_(1), T_(2) and T_(3) are mixed. The masses f molecules are m_(1), m_(2) and m_(3) and the number of molecules are n_(1), n_(2) and n_(3) respectively. Assuming no loss of energy, the final temperature of the mixture is

In above diagram, a combined rod is formed by connecting two rods of length l_(1) and l_(2) respectively and thermal conductivity k_(1) and k_(2) respectively. Temperature of ends of rods are T_(1) and T_(2) constant, then find the temperature of their contact surface ?

An ideal gas at temperature T_1 is compressed to 32th of its original volume, then its temperature T_2 will be _____ (gamma=1.4)

The plots of intensity versus wavelength for three black bodies at temperatures T_(1),T_(2) and T_(3) respectively are shown in Their temperatures are shown in How their temperatures are related ? .

The figure shows a system of two concentric spheres of radii r_1 and r_2 are kept at temperature T_1 and T_2 , respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to

Two monoatomic ideal gases 1 and 2 of molecular masses m_(1) and m_(2) respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to that in gas 2 is given by

One end of thermally insulated rod is kept at a temperature T_(1) and the other at T_(2) . The rod is composed of two section of length l_(1) and l_(2) thermal conductivities k_(1) and k_(2) respectively. The temerature at the interface of two section is

Figure shows graphs of pressure vs density for an ideal gas at two temperature T_(1) and T_(2) . Which of the following is correct ?

Two ideal Carnot engines opeate 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 the temperature of the sink of first engine which isi 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?