Map d In another stop of this lab, you record the mass of water (mwater) in a co

Question

Map d In another stop of this lab, you record the mass of water (mwater) in a coffee cup as was-130.00 g What is the initial temperature of the water, Tset in the ooffee cup as shown to the left? Nunber In the next step of the lab (as shown in the animation to the left) you place the hot piece of metal into the cool water Play the animation and record the final temperature of the water, Twwter2 Number In this virtual lab, you wil use coffee cup calorimetry to determine the specific heat, c of a metal.Mapdt Heating the metal Imagine that, in lab, you record the mass of a piece of metal, mnets as t 45.00 g next step of the lab (as shown in the to the let) you heat up the piece of metal Play the animation, and record the metal's highest temperature, Teta Number With the information above and the specific heat of water, 4.184 J/(g·), you calculate the specific heat, c, of the metal Number metal

Explanation / Answer

Calorimetry experiment

mass of water = 130 g

initial temperature of water = 25 oC

Final temperature of metal + water = 30 oC (re-check this value)

heat gained by water (q1) = mCpdT

with,

m = mass of water, Cp = specific heat of water, dT = change in temperature

So,

q1 = 130 x 4.184 x (30 - 25) = 2719.6 J

mass of metal = 45 g

initial temperature of hot metal = 83 oC

heat gained by water = heat lost by hot metal

heat lost by hot metal = mCpdT

with Cp = specific heat of metal

So,

45 x Cp x (83 - 30) = 2719.6

Cp = 1.14 J/g.oC

So specific heat of metal is 1.14 oC

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