PHYSICS

1. to make a secure fit, rivets that are larger than the rivet hole are often used and the rivet is cooled (usually in dry ice) before it is placed in the hole. a steel rivet 1.871 cm in diameter is to be placed in a hole 1.869 cm in diameter at 20 degree celcius. to what temperature must the rivet be cooled if it is to fit in the hole? 2. you wish to determine the specific heat of a new metal alloy. A 0.150 kg sample of the alloy is heated to 540 degree C. it is then quickly placed in 400 g of water at 10 degree C which is contained in a 200 g aluminum calorimeter cup. the final temp. of the system is 30.5 degree C. calculate the specific heat of the alloy. (Cwater = 4186 J/kgoC);Ccup=900 J/kgoC))

Answers

The specific heat of a metal alloy can be determined using the equation: Q = mcΔT where Q is the energy (in joules) that was transferred, m is the mass (in kg) of the metal alloy sample, c is the specific heat (in J/kg°C) of the metal alloy sample, and ΔT is the temperature change (in °C). In the given scenario, we can determine the specific heat by rearranging the equation and solving for c. c = Q / (mcΔT) The energy transferred in this scenario can be determined by taking the difference between the energy gained and lost by the system, or Q = (mcΔT)water + (mcΔT)cup. Using the given data, we can determine the specific heat of the metal as follows: c = [(0.150 kg)(4186 J/kg°C)(20.5°C)] + [(0.200 kg)(900 J/kg°C)(20.5°C)] / [(0.150 kg)(20.5°C)] c = 923.6 J/kg°C

Answered by Marcus

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