You have a summer job with a company that designs cookware. Your group is assign
ID: 1500075 • Letter: Y
Question
You have a summer job with a company that designs cookware. Your group is assigned the task of designing a better pasta pot. You are very excited by a new strong, light alloy the group has just produced, but will it make a good pasta pot? If it takes more than 10 minutes to boil water in a pasta pot, it probably won't sell. So your boss asks you to calculate how long it would take water at room temperature (23 °C) to reach boiling temperature (100 °C) in a pot made of the new alloy. Your colleagues tell you that a typical pasta pot holds about 2 liters (2.0 kg) of water. They estimate that a pot made of the alloy would have a mass of 0.550 kg, and a specific heat capacity of 860 J / (kg . K). You look in your physics book and find that water has a specific heat capacity of 4200 J / (kg . K) (for this example, ignore heat of vaporization of water). The owner's manual states that the burners on your stove deliver 1000 Joules of heat per second. You estimate that only about 20% of this heat is radiated away.
How long will it take the pot full of water to react 100 °C? Is this a good pasta pot or not?
Explanation / Answer
heat given by the burner x time = heat absorbed by pot + heat consumed by water (2 kg) to change its temperature
800 x t = 473 + 646800
t = 647273/800
t = 809.sec
yes it may be a good pot.
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