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Molecular Physics | Thermodynamics Answers

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The fundamental interval of a thermometeric scale is
100g of 0°C ice mixed with 300g of 25°C water. Find temperature of mixture ?

The options are:
a) -5/3°C
b) -5/2°C
c) -5°C
d) 0°C
The correct answer is 0°C while I got answer -5/4°C by using heat gained = heat lost formula. Please help!!!!
1/ A gas is compressed from 400 cm3 to 200 cm3 at a constant pressure of
100 kPa. At the same time, 100 J of heat energy is transferred out of the
gas. What is the change in internal energy of the gas during this process?
Hydrogen is heated in a vessel to a temperature of 10,000 K . Let each molecule possess an average energy E1 . A few molecules escape into the atmosphere at 300 K. Due to collisions, their energy changes to E2. Calculate ratio E1/E2.
At 0 degree celcius the pressure of the gas in constant volume gas thermometer is 30cm Hg. Calculate the temperature when the pressure of the gas is 50 cm of Hg
At 0 degree celcius the pressure of the gas in constant volume gas thermometer is 30cm Hg. Calculate the temperature when the pressure of the gas is 50 cm of Hg
one mole of an ideal gas expands isothermally to five times its initial volume.calculate the entropy change in terms of R,the gas constant
The standard fixed point for temperature measurements in use today is
A) melting point of ice at one atmospheric pressure
B) of pure ice and pure water in equilibrium at one atmosphere pressure
C) at which ice, water and watervapour coexist
D) none of the above
a sonometer wire having cross section area 0.85×10^-6 is stretched between two rigid supports 1.2 m apart. A tension of 20 N is applied at its free end. If the temperature is reduced by 12℃, calculate the final tension in the wire. Take coefficient of linear expansion and isothermal Young's modulus to be 1.5×10^-5K^-1 and 2.0×x10^11 Nm^-2, respectively.
The time period of a simple pendulum ,called 'second pendulum ' is 2 s .Calculate the length ,angular frequency And frequency of the pendulum.