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Chapter 6: Problem 33

A piece of silver of mass \(362 \mathrm{~g}\) has a heat capacity of \(85.7 \mathrm{~J} /{ }^{\circ} \mathrm{C}\). What is the specific heat of silver?

Short Answer

Expert verified
The specific heat of silver is approximately \(0.237 \frac{J}{g^\circ C}\).

Step by step solution

01

Understand the given values

The problem provides the following data:\nThe mass of the piece of silver \(m = 362g\) and its heat capacity \(C = 85.7J/^\circ C\).
02

Apply the formula

The specific heat (c) can be found by rearranging the formula for thermal capacity. In this case, the formula is: \(c = \frac{C}{m}\), where C is the thermal capacity and m is the mass.
03

Substitute the given values

Substitute the given values into the formula:\(c = \frac{85.7}{362}\).
04

Calculate the specific heat

With the values substituted into the formula, the calculation will now get the specific heat of silver by dividing 85.7 by 362.

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Most popular questions from this chapter

Describe how chemists use Hess's law to determine the \(\Delta H_{\mathrm{f}}^{\circ}\) of a compound by measuring its heat (enthalpy) of combustion.

Ice at \(0^{\circ} \mathrm{C}\) is placed in a Styrofoam cup containing \(361 \mathrm{~g}\) of a soft drink at \(23^{\circ} \mathrm{C}\). The specific heat of the drink is about the same as that of water. Some ice remains after the ice and soft drink reach an equilibrium temperature of \(0^{\circ} \mathrm{C}\). Determine the mass of ice that has melted. Ignore the heat capacity of the cup. (Hint: It takes 334 J to melt \(1 \mathrm{~g}\) of ice at \(\left.0^{\circ} \mathrm{C} .\right)\)

Describe two exothermic processes and two endothermic processes.

Consider these changes. (a) \(\operatorname{Hg}(l) \longrightarrow \operatorname{Hg}(g)\) (b) \(3 \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{O}_{3}(g)\) (c) \(\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}(s) \longrightarrow \mathrm{CuSO}_{4}(s)+5 \mathrm{H}_{2} \mathrm{O}(g)\) (d) \(\mathrm{H}_{2}(g)+\mathrm{F}_{2}(g) \longrightarrow 2 \mathrm{HF}(g)\) At constant pressure, in which of the reactions is work done by the system on the surroundings? By the surroundings on the system? In which of them is no work done?

What is the difference between specific heat and heat capacity? What are the units for these two quantities? Which is the intensive property and which is the extensive property?
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