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Chapter 1: Q71E (page 9)

Sodium sulfate 10鈭抙ydrate, \(N{a_2}S{O_4}.10{H_2}O\), dehydrates according to the equation

\(C(s) + {H_2}O(g) \rightleftharpoons CO(g) + {H_2}(g)\)

\({K_P} = 4.08 \times 1{0^{ - 25}}at2{5^o}C\)

What is the pressure of water vapor at equilibrium with a mixture of \(N{a_2}S{O_4}.10{H_2}O\)and \(NaS{O_4}\)?

Short Answer

Expert verified

The vapor pressure of water at equilibrium is \(3.64x1{0^{ - 3}}atm\).

Step by step solution

01

Given information:

  1. Value of equilibrium constant at \(2{5^0}C\)is \({K_P} = 4.08 \times 1{0^{ - 25}}\)

The value of equilibrium water vapor pressure needs to be calculated

02

Calculate water vapor pressure at equilibrium:

\(\begin{array}{*{20}{c}}{{K_p}}&{ = {{\left( {{P_{{H_2}O}}} \right)}^{10}}}\\{{P_{{H_2}O}}}&{ = \sqrt[{10}]{{{K_p}}}}\\{}&{ = \sqrt[{10}]{{4.08 \times {{10}^{ - 25}}}}}\\{}&{}\\{}&{ = 3.64 \times {{10}^{ - 3}}{\rm{atm}}}\end{array}\)

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Most popular questions from this chapter

A large piece of jewelry has a mass of 132.6g. A graduated cylinder initially contains 48.6 mL water. When the jewellery is submerged in the graduated cylinder, the total volume increases to 61.2 mL.

a) Determine the density of this piece of jewelry.

b) Assuming that the jewellery is made from only one substance, what substance is it likely to be? Explain.

Many medical laboratory tests are run using 5.0 渭L blood serum. What is this volume in milliliters?

Indicate the SI base units or derived units that are appropriate for the following measurements:

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As stated in the text, convincing examples that demonstrate the law of conservation of matter outside of the laboratory are few and far between. Indicate whether the mass would increase, decrease, or stay the same for the following scenarios where chemical reactions take place:

(a) Exactly one pound of bread dough is placed in a baking tin. The dough is cooked in an oven at 350 掳F releasing a wonderful aroma of freshly baked bread during the cooking process. Is the mass of the baked loaf less than, greater than, or the same as the one pound of original dough? Explain.

(b) When magnesium burns in air a white flaky ash of magnesium oxide is produced. Is the mass of magnesium oxide less than, greater than, or the same as the original piece of magnesium? Explain.

(c) Antoine Lavoisier, the French scientist credited with first stating the law of conservation of matter, heated a mixture of tin and air in a sealed flask to produce tin oxide. Did the mass of the sealed flask and contents decrease, increase, or remain the same after the heating?

Classify each of the following changes as physical or chemical:

(a) coal burning

(b) ice melting

(c) mixing chocolate syrup with milk

(d) explosion of a firecracker

(e) magnetizing of a screwdriver
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