Calculating Specific Heat Capacity: Solving for Unknown Variables

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To calculate the specific heat capacity of a metal when immersed in water, the heat gained by the metal equals the heat lost by the water. Given the masses and temperatures of both substances, the final temperature is 336 K. The specific heat capacity of the metal is determined to be 1.90 kJ/(kg·K). The discussion emphasizes the importance of correctly applying the equation Q=mc∆t and ensuring proper unit notation. Accurate calculations and attention to detail are crucial in solving for unknown variables in thermodynamics.
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Homework Statement


When 1.25 kg of a cold metal at a temperature
of 263 K was immersed in 1.43 kg of water at
a temperature of 365 K, the final temperature
was 336 K. What is the specific heat capacity
of the metal?

Homework Equations


Q=mc∆t
-Q=Q[/B]

The Attempt at a Solution


The answer should be 1.90KJ(kg*K)[/B]
 
Last edited:
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rrosa522 said:

Homework Statement


When 1.25 kg of a cold metal at a temperature
of 263 K was immersed in 1.43 kg of water at
a temperature of 365 K, the final temperature
was 336 K. What is the specific heat capacity
of the metal?

Homework Equations


Q=mc∆t
-Q=Q[/B]

The Attempt at a Solution


The answer should be 1.90KJ(kg*K)[/B]
Heat gained by metal = heat lost by water.
 
rrosa522 said:

The Attempt at a Solution


The answer should be 1.90KJ(kg*K)[/B]

That's not an attempt at a solution.
 
CWatters said:
That's not an attempt at a solution.
And there are a couple of typos as well, it should be written as 1.90 kJ/(kgK)
 
Last edited:
Well, you have the right equation there. How much will the temperatures change?
 
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