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charle [14.2K]
3 years ago
8

A small amount wet of hydrogen gas can be prepared by the reaction of zinc with excess hydrochloric acid and trapping the gas pr

oduced in an inverted tube initially filled with water. If the total pressure of the gas in the collection tube is 729.7 mmHg at 25 C, what is the partial pressure of the hydrogen
Chemistry
1 answer:
dybincka [34]3 years ago
4 0

Answer : The partial pressure of the hydrogen is, 705.9 mmHg

Explanation :

According to the Dalton's law of partial pressure,

P_T=P_{H_2}+P_{H_2O}

where,

P_T = total pressure of the gas = 729.7 mmHg

P_{H_2} = partial pressure of the hydrogen gas = ?

P_{H_2O} = partial pressure of the water = 23.8 mmHg (standard value)

Now put all the given values in the above expression, we get:

729.7mmHg=P_{H_2}+23.8mmHg

P_{H_2}=705.9mmHg

Therefore, the partial pressure of the hydrogen is, 705.9 mmHg

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Gold is alloyed (mixed) with other metals to increase its hardness in making jewelry.
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Answer:

A) 54.04%

B) 13-karat

Explanation:

A) From the problem we have

<em>1)</em> Mg + Ms = 9.40 g

<em>2)</em> Vg + Vs = 0.675 cm³

Where M stands for mass, V stands for volume, and g and s stand for gold and silver respectively.

We can rewrite the first equation using the density values:

<em>3)</em> Vg * 19.3 g/cm³ + Vs * 10.5 g/cm³ = 9.40

So now we have<em> a system of two equations</em> (2 and 3) <em>with two unknowns</em>:

We <u>express Vg in terms of Vs</u>:

  • Vg + Vs = 0.675 cm³
  • Vg = 0.675 - Vs

We <u>replace the value of Vg in equation 3</u>:

  • Vg * 19.3 + Vs * 10.5 = 9.40
  • (0.675-Vs) * 19.3 + Vs * 10.5 = 9.40
  • 13.0275 - 19.3Vs + 10.5Vs = 9.40
  • -8.8 Vs + 13.0275 = 9.40
  • <u>Vs = 0.412 cm³</u>

Now we <u>calculate Vg</u>:

  • Vg + Vs = 0.675 cm³
  • Vg + 0.412 cm³ = 0.675 cm³
  • Vg = 0.263 cm³

We <u>calculate Mg from Vg</u>:

  • 0.263 cm³ * 19.3 g/cm³ = 5.08 g

We calculate the mass percentage of gold:

  • 5.08 / 9.40 * 100% = 54.04%

B)

We multiply 24 by the percentage fraction:

  • 24 * 54.04/100 = 12.97-karat ≅ 13-karat
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