The heat capacity of a substance is therefore related to the energy q needed to
ID: 844590 • Letter: T
Question
The heat capacity of a substance is therefore related to the energy q needed to raise its temperature by an amount ?T. That is, q=nCp?T, where n denotes the number of moles of the substance, or q=mCs?T, wherem denotes the number of grams of the substance.
A. It takes 52.0J to raise the temperature of an 11.7g piece of unknown metal from 13.0?Cto 24.8?C. What is the specific heat for the metal? Express your answer with the appropriate units.
B. The molar heat capacity of silver is 25.35 J/mol??C. How much energy would it take to raise the temperature of 11.7g of silver by 17.9?C?
C. What is the specific heat of silver?
Express your answer with the appropriate units.
Explanation / Answer
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The heat capacity of a substance is therefore related to the energy q needed to raise its temperature by an amount Delta T. That is, q = nC_{ m p}Delta T, where n denotes the number of moles of the substance, or q = mC_{ m s}Delta T, where m denotes the number of grams of the substance.
Part A
It takes 53.0 J to raise the temperature of an 8.10 g piece of unknown metal from 13.0 C to 24.0 C. What is the specific heat for the metal?
Express your answer numerically, J/g*C
Part B
The molar heat capacity of silver is 25.35 j/mol*C. How much energy would it take to raise the temperature of 8.10 g of silver by 13.8 C?
Part C
What is the specific heat of silver?
answer
A .
H = mC ?T ;
53 = 8.1 * C *( 24 - 13 ) ;
C = 0.5948 J / g C ; <---------ans
B .
H = m C ?T ;
H = ( m / M ) C ?T ;
H = ( 8.1 / 107.8 ) ( 25.35 ) * 13.8 ;
H = 26.2859 J ; <--------ans
C .
for 1 mol 25.35 J is needed ,
so for 107.8 g , 25.35 J is needed ,
for 1g , H = 0.2351 J / g C
specific heat cpacity of silver = 0.2351 J / g C <-----ans
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