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5 grams of ice at 0 degree Celsius is mixed with 10 grams of water at 50 degree Celsius. What is the resultant temperature ?
1.200g of water heated from 17.0 degrees Celsius to 23.5 degrees Celsius . What is the amount of thermal energy that been transferred to that mass?

2. beaker contains 360.4g of whiten the liquid state at 100 degrees Celsius . How much energy in KJ is required to convert the liquid water to water vapours?

3. what is the amount of heat energy required to change a 40.0g ice cube at -20.0 degrees Celsius to water at 50.0 degrees Celsius ?

4.500g mass of copper at 15.0 degrees Celsius, copper gains 650 joules of thermal energy. What would be final temperature of that mass? ( c=0.386 j/g degrees Celsius)
Steel has a specific heat of 0.11 calories/gram/C. How much would 25 grams of steel cool if 10 calories of heat were lost to the surrounding air? How many calories would the same amount of water have to lose to the surrounding air to show the same decrease in temperature (water has a specific heat of 1 calories/gram/C)? Must show all work. What accounts for the difference? Explain your answer.
A hydroelectric power station requires water to be pumped from dam A to dam B, using two pumps (each consuming 250MW of power at 98% efficiency) to elevate the water approximately 70m. At full power, dam B can be filled from empty to its capacity of 28700 ML in 14 hours. The water being supplied us stationary at 4 atm and 10 deg C; it is released at 1atm through a pipe of 20m in diameter. Assuming there will be no heat transfer to the water. What is the maximum temperature at which the water will exit?
A spray can at 250 PSI is at room temperature. What will its temperature be if it expands to 16.5 x the volume when released?
c) What is meant by root mean square speed of a gas? Express it in terms of temperature and molecular weight of gas. Calculate rmsvfor He atoms at 300 K. (Take kg).1067.627He−×=m (1,1,3) d) What is Bose-Einstein condensation? Show that Bose-Einstein condensation temperature is given by 3/2B2V612.22π=NmkhTc (1,4) e) i) Write an expression for Planck’s law for energy density of photons in a cavity and calculate total energy density, u. ii) Consider sun as a black body whose interior consists of photons gas at K.1036×=T Calculate the energy density of the solar radiations. Take 4316kmJ107.56−−−×=σ.
5. a) Derive an expression for ground state energy of a completely degenerate FD gas. For copper, take kg101.9 and Js,1062.6,m105.83134328−−−×=×=×=emhVNto calculate Fermi energy. (6,4) b) Show that the partition function of an N-particle system is given by the expression: 2/332NNNNNmhVZZβπ== Obtain expressions for (i) heat capacity at constant volume, (ii) average pressure exerted by the gas, and (iii) Helmholtz free energy F.
What do you understand by first order phase transition? Derive Clausius-Clapeyron equation to explain variation of temperature with pressure in such a transition. Can we use this equation for transitions of order higher than one? Explain.
a) A certain mass of a gas at 273 K temperature and one atmospheric pressure is expanded to 3 times its original volume under adiabatic conditions. Calculate the resulting temperature and pressure. (Take the value of γ = 1.4)
a) Derive an equation of state γpV= constant for an adiabatic process and show that an adiabat is steeper than an isotherm.
b) A block of copper whose expansivity, β, is 16K100.48−−× and isothermal elasticity, ,TE is 211Nm1030.1−×is at atmospheric pressure and a temperature of 0°C. Its temperature is raised to 10°C. Calculate the final pressure when volume is kept constant. Express your answer in units of atmospheric pressure (atm).
c) Explain the working of a constant volume gas thermometer with the help of a neat and labelled diagram.
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