The specific heat of a certain type of metal is 0.128 J/(g·°C). What is the final temperature if 305 J of heat is added to 26.0 g of this metal initially at 20.0 °C?
Answer – We are given, specific heat of metal ,Cm = 0.128 J/(g·°C)
Heat, q = 305 J, mass = 26.0 g , ti = 20.0 °C, tf = ?
We know formula for calculating the heat from specific heat and change in temperature-
q = m *C*∆t
305 J = 26.0 g * 0.128 J/(g·°C) * ( tf – 20.0)oC
305 J = 3.328 J/ oC * ( tf – 20.0)oC
305 J = 3.328 tf - 66.56
So, 3.328 tf = 305+66.56
= 371.56
So, tf = 371.56 / 3.328
= 112 oC
Final temperature if 305 J of heat is added to 26.0 g of this metal initially at 20.0 °C is 112oC
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