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The resistance of a wire is given by
R R= + 0 t t + 2 ( )where t is the temperature in degrees Celsius measured on the ideal gas
scale and so R0 is the resistance at the ice point. The constants α and β
are 3.8 × 10−3K−1 and −3.0 × 10−6K−2, respectively. Calculate the temperature on the resistance scale at a temperature of 70°C on the ideal gas
scale.
The length of the mercury column in a mercury-in-glass thermometer is
5 cm when the bulb is immersed in water at its triple point. What is the
temperature on the mercury-in-glass scale when the length of the column is 6.0 cm? What will the length of the column be when the bulb is
immersed in a liquid at 100° above the ice point, as measured on the mercury-in-glass scale? If the length of the column can be measured to within
only 0.01 cm, can this thermometer be used to distinguish between the
ice point and the triple point of water? You may take the temperature of
the ice point, as measured on the mercury-in-glass scale, as 273.15 K.
Determine the change in volume of a block of
cast iron 5.0 cm x 10 cm x 6.0 cm, when the
temperature changes from 15 0C to 47 0C. The
coefficient of linear expansion of cast iron is
0.000010 0C-1
An iron casting of mass 30kg at 400oC is being cooled and it
gives out heat on an average of 920J/s. Calculate its temperature
after 1 hour? (Specific heat capacity of iron = 460Jkg -1oC
-1).
d) Calculate the partition function, free energy, entropy, CV and Cp of N linear
harmonic oscillators.
400-N cargo rest on the inclined ladder which makes an angle of 350 with the horizontal. Find the component force on this perpendicular to the plane.
Estimate the heat capacity of steam at 100°C
A model turbine having diameter 0.4 m develops 15 kW when working under a head of 5m at
its best speed of 1600 rpm. If a geometrical similar turbine having diameter 1.6m operates at
the same efficiency under 18 m head. Find the speed and power developed by the actual turbine.
Define stagnation temperature. Air leaves the compressor of a jet engine at a temperature of
150°C, a pressure of 5 bar and a velocity of 120m/s. Determine the isentropic stagnation
temperature and pressure.
A cylinder of diameter 1cm at temp 30c is to be slid into a hole in steel plate.the hole had a diameter of 0.99970cm at temp 30c.To what temp must the plate be heated?
