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Solved: Calculate the work done when 50.0 g of tin

Chapter 6, Problem 19P

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QUESTION:

Calculate the work done when 50.0 g of tin dissolves in excess acid at 1.00 atm and 25°C:

                      \(\mathrm{Sn}(\mathrm{s})+2\mathrm{H}^+(\mathrm{aq})\rightarrow\mathrm{Sn}^{2+}(\mathrm{aq})+\mathrm{H}_2(\mathrm{g})\)

Assume ideal gas behavior.

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QUESTION:

Calculate the work done when 50.0 g of tin dissolves in excess acid at 1.00 atm and 25°C:

                      \(\mathrm{Sn}(\mathrm{s})+2\mathrm{H}^+(\mathrm{aq})\rightarrow\mathrm{Sn}^{2+}(\mathrm{aq})+\mathrm{H}_2(\mathrm{g})\)

Assume ideal gas behavior.

ANSWER:

Step 1 of 2

The goal of the problem is to calculate the work done

Given equation:

Given:

mass = 50.0 g

P = 1.00 atm

T = 25°C = 25 + 273 = 298 K

First, let’s calculate the number of moles of hydrogen gas formed in the reaction:

Molar mass of Sn (Tin)  = 118.71 g/mol

We see from the balance equation that, there is 1 mole of  for 1 mole of Sn. Therefore, the number of moles will be:

        = 50.0 g    

        = 0.421 moles

Now, let’s calculate the volume occupied by the hydrogen gas using the ideal gas equation:

        PV = nRT

           V =

               =

               = 10.3 L

Hence, the volume of  hydrogen gas released is 10.3 L

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