# Problem: A 54.0 g block of an unknown metal is heated in a hot water bath to 100.0°C. When the block is placed in an insulated vessel containing 130.0 g of water at 25.0°C, the final temperature is 28.0°C. Determine the specific heat of the unknown metal. The Cs for water is 4.18 J/g°C.

###### FREE Expert Solution
86% (419 ratings)
###### FREE Expert Solution

We’re being asked to determine the specific heat of an unknown substance in the given system.

We will use the heat released by the unknown metal to calculate its specific heat capacity.

Recall that heat (q) can be calculated using the following equation:

$\overline{){\mathbf{q}}{\mathbf{=}}{\mathbf{mc}}{\mathbf{∆}}{\mathbf{T}}}$

q = heat, J

+qabsorbs heat
–qloses heat

m = mass (g)
c = specific heat capacity = J/(g·°C)
ΔT = Tf – Ti = (°C)

Based on the given system:

86% (419 ratings) ###### Problem Details

A 54.0 g block of an unknown metal is heated in a hot water bath to 100.0°C. When the block is placed in an insulated vessel containing 130.0 g of water at 25.0°C, the final temperature is 28.0°C. Determine the specific heat of the unknown metal. The Cs for water is 4.18 J/g°C.

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Calorimetry concept. You can view video lessons to learn Calorimetry. Or if you need more Calorimetry practice, you can also practice Calorimetry practice problems.

What is the difficulty of this problem?

Our tutors rated the difficulty ofA 54.0 g block of an unknown metal is heated in a hot water ...as medium difficulty.

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Our expert Chemistry tutor, Dasha took 6 minutes and 31 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Habel Rodriguez's class at UNM.