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sp2606 [1]
3 years ago
13

You are trying to determine the specific heat of a metal. You heat the 97 g piece of metal to 100 °C and place it in a calorimet

er with 122 g of water. The temperature of the water increases from 20.0 °C to 28.9 °C. What is the specific heat of the metal?
Chemistry
1 answer:
Brut [27]3 years ago
8 0

Answer : The specific heat of the metal is, 0.658J/g^oC

Explanation :

In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.

q_1=-q_2

m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)

where,

c_1 = specific heat of metal = ?

c_2 = specific heat of water = 4.18J/g^oC

m_1 = mass of metal = 97 g

m_2 = mass of water  = 122 g

T_f = final temperature of mixture = 28.9^oC

T_1 = initial temperature of metal = 100^oC

T_2 = initial temperature of water = 20.0^oC

Now put all the given values in the above formula, we get

97g\times c_1\times (28.9-100)^oC=-122g\times 4.18J/g^oC\times (28.9-20.0)^oC

c_1=0.658J/g^oC

Therefore, the specific heat of the metal is, 0.658J/g^oC

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