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one gm of ice at 0 degree c contracts in volume by 0.091 cm^3 on melting.9 gm of metal is heated to 200 c and dropped into an ice calorimeter.The decrease in volume was found to be 0.182 cm^3.Calculate the specific heat capactity of metal.
Air flows steadily at the rate of 0.4 kg/s through an air compressor, entering at

6 m/s with a pressure of 100 kPa and a specific volume of 0.85 m3

/kg. The air

exits at 4.5 m/s with a pressure of 690 kPa and a specific volume of

0.16 m3

/kg. The specific internal energy of the air leaving is 88 kJ/kg greater

than that of the air entering. Cooling water in the jacket surrounding the

cylinder absorbs heat from the air at the rate of 59 kJ/s. Calculate:

a. The power required to drive the compressor

b. The cross-sectional area of the inlet pipe

c. The cross-sectional area of the outlet pipe
Determine the quantity of heat required to convert 1kg of ice formally at -20°c to water at 100°c and steam at 100°c
A steel rod increases its length by 5mm when the temperature increases by 10°c. What is the initial length of the rod if the coefficient of linear expansion for steel is 0.00011°c
An ideal gas at initial temperature (T) and initial volume(V) is expanded adiabatically to a volume (2V). The gas is then expanded isothermally a volume (5V) and thereafter compressed adiabatically so that the temperature of the gas becomes again (T).If the final volume of the gas is x(V). then the value of x is......
A body vibrating with simple harmonic motion has a frequency of 4Hz and amplitude of 0.15m. Calculate the maximum values of the acceleration and velocity.

Calculate the acceleration and velocity at a point 0.09m from the equilibrium position of motion
A flexible metal sheet, length 6.0 cm, breadth 5.0cm, average thickness 0.0833 cm has a mass of 23.0g. Calculate the volume and density of the metal sheet:


A. 2.499cm³ and 9.2gcm³

B. 30cm³ and 6.654gcm³

C. 3.645cm³ and 6.310cm³

D. 1.77cm³ and 12.994gcm³
Calculate the change in entropy of gases in the following cases: a) A 3.0 mol sample of an ideal gas expands reversibly and isothermally at 350 K until its volume doubled. b) The temperature of 1.0 mol of an ideal monatomic gas is raised reversibly from 200 K to 300 K, with its volume kept constant.
An ideal monatomic gas undergoes an adiabatic compression from state 1 with pressure p1=1 atm, volume V1=8 L, and temperature T1=300 K to state 2 with pressure p2=32 atm, volume V2=1 L. (a) What is the temperature of the gas in state 2? (b) How many moles of gas are present?

(c) What is the average translational kinetic energy per mole before and after the compression? (d) What is the ratio of the squares of the rms speeds before and after the compression? (e) If we do not know that the ideal gas here is monatomic, demonstrate that the gas is truly monatomic.
An ideal gas (γ = 1.40) expands slowly and adiabatically. If the final temperature is one third the initial temperature, by what factor does the volume change?
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