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1.0 mol of an ideal gas starts at 1.0 atm and 77F and does 1.0 kJ of work during an adiabatic expansion. Calculate the final volume of the gas. Express your answer in litres. In your calculation, fully show the conversion of units. Marks will be given for the necessary conversion factors and every number must have a unit in this problem! 


A scientist working late at night in her low-temperature physics laboratory decides to have a cup of hot tea, but discovers the lab hot plate is broken. Not to be deterred, she puts about 8.00 oz of water, at 12.0°C, from the tap into a lab dewar (essentially a large thermos bottle) and begins shaking it up and down. With each shake the water is thrown up and falls back down a distance of 31.3 cm.

 If she can complete 30 shakes per minute, how long will it take for the water to reach 77.1°C?



A contractor uses a paddle stirrer to mix a can of paint. The paddle turns at 29.2 rad/s and exerts a torque of 17.1 N·m on the paint, doing work on the paint at a rate of Power = τω = 17.1 N·m × 29.2 rad/s = 499.3 W. An internal energy increase of 12.1 kJ causes the temperature of the paint to increase by 1.00 K.

 

If there were no heat flow between the paint and the surroundings, what would be the temperature change of the paint as it is stirred for 5.00 min?



Q1: A power cycle capable of delivering a power output of 410 kJ for an energy input by heat transfer of 1000 kJ. The system undergoing the cycle receives the heat transfer from hot gases at a temperature of 500 K and discharges energy by heat transfer to the atmosphere at 27 °C. Evaluate: l amount of heat released from the system and thermal efficiency. 2 the efficiency if the system operates in Carnot cycle. 3 draw the schematic diagram of the system.

A system takes in 0.550 KJ of heat while it does 0.770KJ of work on the surrounding. What is the change in internal energy of the system?

1.0 mol of an ideal gas starts at 1.0 atm and 77°F and does 1 KJ of work during an adiabatic expansion. Calculate the final volume of the gas express your answer in litres.

The furnace wall consists of 200m of fire brick and 115m insulating brick having thermal conductivity of 0.7m and 25w/m² respectively. Calculate the heat transfer per metre square of the furnace wall when the temperature difference across the slab is 500°C

A scientist working late at night in her low-temperature physics laboratory decides to have a cup of hot tea, but discovers the lab hot plate is broken. Not to be deterred, she puts about 8.00 oz of water, at 12.0°C, from the tap into a lab dewar (essentially a large thermos bottle) and begins shaking it up and down. With each shake the water is thrown up and falls back down a distance of 25.6 cm.

Is this practically possible?



A scientist working late at night in her low-temperature physics laboratory decides to have a cup of hot tea, but discovers the lab hot plate is broken. Not to be deterred, she puts about 8.00 oz of water, at 12.0°C, from the tap into a lab dewar (essentially a large thermos bottle) and begins shaking it up and down. With each shake the water is thrown up and falls back down a distance of 25.6 cm.

 If she can complete 30 shakes per minute, how long will it take for the water to reach 79.8°C?



A 7.70-kg steel ball at 18.7°C is dropped from a height of 12.7 m into an insulated container with 4.50 L of water at 10.1°C. If no water splashes, what is the final temperature of the water and steel? The specific heat of steel and water is 450 J/(kg·K) and 4186 J/(kg·K) respectively.


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