A new monatomic ideal gas is discovered and named Wellsium. A pure 4-mole sample is sitting in a container at equilibrium is a `20.0^(@)C` enveironment. According to the kinetic theory of gases, the average kinetic energy per molecule for this gas is `Zxx10^(-21)J`. The value of `Z//3` to the nearest integer is : (Boltzman's constant is `1.38xx10^(-23)J//K)`

In the nuclear fusion reaction _(1)^(2)H + _(1)^(3)H rarr _(2)^(4)He + n given that the repulsive potential energy between the two nuclei is - 7.7 xx 10^(-14) J , the temperature at which the gases must be heated the reaction is nearly [Boltzmann's constant k = 1.38 xx 10^(-23) J//K]

Consider the D–T reaction (deuterium–tritium fusion) ""_(1)^(2)H + ""_(1)^(3)H to ""_(2)^(4)He + n (a) Calculate the energy released in MeV in this reaction from the data: m (""_(1)^(2)H) = 2.014102u m(""_1^(3)H) = 3.016049 u (b) Consider the radius of both deuterium and tritium to be pproximately 2.0 fm. What is the kinetic energy needed to overcome the coulomb repulsion between the two nuclei? To what temperature must the gas be heated to initiate the reaction? (Hint: Kinetic energy required for one fusion event =average thermal kinetic energy available with the interacting particles = 2(3kT/2), k = Boltzman’s constant, T = absolute temperature.)

An ideal gas is enclosed in a closed container of 0.0083 m^3 at 300 K temperature and pressure of 1.6 xx 10^6 Pa. Find final temperature and pressure of the gas if 2.49 xx 10^4 J heat is supplied to the gas. Neglect expansion of the container. R=8.3 "J mol"^(-1) K^(-1)

A cubical box of side 1 m contains helium gas (atomic weight 4) at a pressure of 100 N//m^2 . During an observation time of 1 second , an atom travelling with the root - mean - square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms . Take R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K . (a) Evaluate the temperature of the gas. (b) Evaluate the average kinetic energy per atom. ( c) Evaluate the total mass of helium gas in the box.

A vessel of volume 8.0 xx 10^(-3)m^(3) contains an ideal gas at 300 K and pressure 200 kPa . The gas is allowed to leak till the pressure falls to 125 k Pa . Calculate the amount of the gas (in moles) leaked assuming that the temperature remains constants.

A closed container of volume 0.02m^3 contains a mixture of neon and argon gases, at a temperature of 27^@C and pressure of 1xx10^5Nm^-2 . The total mass of the mixture is 28g. If the molar masses of neon and argon are 20 and 40gmol^-1 respectively, find the masses of the individual gasses in the container assuming them to be ideal (Universal gas constant R=8.314J//mol-K ).

A closed container of volume 0.02m^3 contains a mixture of neon and argon gases, at a temperature of 27^@C and pressure of 1xx10^5Nm^-2 . The total mass of the mixture is 28g . If the molar masses of neon and argon are 20 and 40gmol^-1 respectively, find the masses of the individual gasses in the container assuming them to be ideal (Universal gas constant R=8.314J//mol-K ).

Two moles of an ideal monoatomic gas are confined within a cylinder by a massless and frictionless spring loaded piston of cross-sectional area 4 xx 10^(-3)m^(2) . The spring is, initially in its relaxed state. Now the gas is heated by an electric heater, placed inside the cylinder, for some time. During this time, the gas expands and does 50J of work in moving the piston through a distance 0.10m . The temperature of the gas increases by 50K . Calculate the heat supplied by the heater. P_(atm) = 1 xx 10^(5)N//m^(2)R = 8.314 J//mol-K

A cubical box of side 1 m contains helium gas (atomic weight 4) at a pressure of 100 N//m^2 . During an observation time of 1 second , an atom travelling with the root - mean - square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms . Take R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K . (a) Evaluate the temperature of the gas. (b) Evaluate the total mass of helium gas in the box.

A boat is travelling in a driver in river with a speed 10 m//s along the stream flowing with a speed 2m//s . From this, boat, a sounjd transmitter is lowered into the river through a right support. The wavelength of the sound emitted from the transmitter inside the water is 14.45 mm . Assume that attention of sound in water and air is negligible. (a) What will be frequency detected by receiver kept inside downstream? (b) The transmitter and the receiver are now pulled up into air. The air is blowing with a speed 5 m//s in the direction opposite the river stream. Determine the frequency of the sound detected by the receiver. (Temperature of the air and water = 20^(@)C , Density of river water = 10^(3) kg//m^(3) . Bulk modulus of the water = 2.088 xx 10^(6) Pa , Gas constant R = 8.31 J//mol-K , Mean molecular mass of air = 28.8 xx 10^(-3) kg//mol , C_(P)//C_(V) for air = 1.4 ).