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Show that the binomial distribution with q = p = 0.5 approaches the Gaussian distribution for large N.


Discuss, giving examples, the significance of the bonding energy (E0).


The total potential energy of a system of two atoms is given by



U=-p/r³+q/r^6




The atoms form a stable bond at a bond length of 3.2 Å with the release of 12 eV.

a) Calculate p and q.

b) Determine the critical distance.

• At critical separation, force is maximum

c) Find the force needed to dissociate this molecule.



1. A student has designed his own thermometer with a temperature scale called S. Here 

he has marked the freezing point of water as 20 °S and the boiling point of water as 

150 °S. The S scale has 130 divisions.

(a) By drawing a suitable diagram, express the relation (mathematical equation) 

between 𝑇𝐶 (temperature in Celsius) and 𝑇𝑆

(temperature in S)

(b) What reading will be shown in S scale when he measures the temperature of an 

object at 60℃.



A hot filament radiates 1.50 W of light. The filament has a surface area of 0.250 mm2

and an emissivity of 0.950. what is the temperature (in kelvin) of the filament?


Three different gases, namely; He, N2 and CO2 were placed in separate containers.


16. Which of the following is the closest value of Cv for the He gas?

Two concrete spans,of a 250m long bridge,are placed end to end so that there is no room allowed for expansion.If a temperature increase of 20.0°C occurs,what is the height y to which the spans rise when they buckle?

A lab sample of gas is taken through cycle abca .The net work done on the gas is -1.2J.Along path ab,the change in internal energy is +3.0J and the work done on the gas is -5.0J.Along path ca,the energy transferred to the gas as heat is +2.5J.




(a). Determine the energy transferred to the gas as heat along path ab.



(b). Determine the energy transferred to the gas as heat along path bc.

a lump of steel of mass 8 kg at 1000 k is dropped in 80 kg of oil at 300 k. calculate the entropy change of steel the oil and the universe. take specific heats of steel and oil as 0.5 kj/kg K and 3.5 Kj /kg K respectively


A gas has a volume of 120m³ at stp. if the gas is compressed adiabatically to a volume of 25m³. calculate the new temperature, pressure and work done on the gas. [Cp= 1.68kj/kg-¹ k-¹, Cv = 1.20 kj kg-¹ k-¹]


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