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]