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WITCHER [35]
3 years ago
13

A 75 g piece of gold (Au) at 1000 K is dropped into 200 g of H2O at 300K in an insulated container at 1 bar. Calculate the tempe

rature of the system once the equilibrium has been reached. Assume that CP,m for Au and H2O are constant and its value for 298 K throughout the temperature range of interest.
Chemistry
1 answer:
Deffense [45]3 years ago
6 0

Answer:

The temperature of the system once the equilibrium has been reached = 372.55K

Explanation:

Heat capacity of gold = 129 J/Kg*c.

Heat capacity of water

4,184 J/Kg*c.

Mass of gold = 75g = 0.075Kg

Mass of water = 200g = 0.2Kg

From conservation of energy

m1×C1×(t11 - t2) = m2×C2×(t2- t21)

Substituting we have

0.075 × 129×(1000-t2) = 0.2× 4184×( t2 -300) =solving for t2, we have

933.55×t2 = 347790

or t2 = 372.55K

The temperature of the system once the equilibrium has been reached = 372.55K

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Explanation:

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First of all we will calculate the moles of hydrogen

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n = 4.46 atm × 0.579 L / 0.0821 atm. dm³. mol⁻¹. K⁻¹ × 318 K

n = 2.6 atm . L / 26.12 atm. dm³. mol⁻¹

n = 0.0995 mol

Mass of hydrogen:

Mass = moles × molar mass

Mass =  0.0995 mol × 2.016 g/mol

Mass =  0.2006 g

Now we will compare the moles of hydrogen with XeF₆ from balance chemical equation.

                                         H₂   :  XeF₆

                                          3    :    1

                                 0.0995   : 1/3× 0.0995 = 0.0332 mol

Now we will calculate the mass of XeF₆.

Mass = moles × molar mass

Mass = 0.0332 mol × 245.28 g/mol

Mass = 8.1433 g

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