A brass boiler has a base area of 0.15 m2 and thickness 1.0 cm. It boils water at the rate of 6.0 kg/min when placed on a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of brass = 109 J` s ^-1m^- 1K^-1`, Heat of vaporisation of water =` 2256 xx 10^3 J kg^-1`.

A ‘thermacole’ icebox is a cheap and efficient method for storing small quantities of cooked food in summer in particular. A cubical icebox of side 30 cm has a thickness of 5.0 cm. if 4.0 kg of ice is put in the box, estimate the amount of-ice remaining after 6 h. The outside temperature is 45 ^@C , and co-efficient of thermal conductivity of thermacole is 0.01 J s^-1.m-^1 K-^1 . [Heat of fusion of water = 335 x 103 J kg^-1

A copper block of mass 2.5 kg is heated in a furnace to a temperature of 500^2C and then placed on a large ice block. What is the maximum amount of ice that can melt? (Specific heat of copper = 0.39 J g-^1K ^-1 , heat of fusion of water = 335 J g^-1)

Find the time in which a layer of ice 3 cm thick on the surface of a pond will increase in thickness by 1 mm when the temperature of the surrounding is -20°C .the thermal conductivity of ice is 2.1 W/m K, latent heatof ice 3.36 10^5J/kg and density is 900 kg/m^-3 .

A steel tape 1m long is correctly calibrated for a temperature of 27.0 ^@C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 ^@C . What is the actual length of the steel rod on that day? What Is the length of the same steel rod on a day when the temperature is 27.0 ^@C ? Coefficient of linear expansion of steel = 1.20xx10^-5 K^-1 .

A brass wire 1.8 m long at 27^@C is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of 39 ^@C , what is the tension developed in the wire, if its. diameter is 2.0 mm? Co-efficient of linear expansion of brass = 2.0 XX 10^-5 K^-1 Young’s modulus of brass = 0.91xx10^11 P

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^1. What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.

A body which has surface area of 5.0 cm^2 and a temperature of 727 radiates 300j of energy per minute.What is its emissivity?( sigma=5.67*10^-8 W/m^-2 K^-4 )

When 0.15 kg of ice at 0^@C mixed with 0.30 kg of water at 50^@C in a container, the resutling temperature is 6.7^@C . Calculate the latent heat of fusion of ice. Given S_(water) = 4186J kg^-1 K^-1 .

18g of glucose is dissolved in 1kg of water in a container. At what temperature the solution will boil? ( K_b for water = 0.52, boiling point of water = 373.15K)

A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250 ^@C , if the original lengths are at 40.0 ^@C ? Is there a ‘thermal stress’ developed at the junction? The ends of the rod are free to expand (Co-efficient of linear expansion of brass = 2.0 xx 10^-5K^-1 steel = 1.2 xx 10^-5 K^-1) .