ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM
ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM
7th Edition
ISBN: 9781319403959
Author: ATKINS
Publisher: MAC HIGHER
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Chapter 3, Problem 3E.6E

(a)

Interpretation Introduction

Interpretation:

Pressure exerted by 1.00 mol H2 at 298 K and 30.0 L with help of ideal gas equation and van der Waals equation has to be determined.

Concept Introduction:

The expression for ideal gas equation for one mole of gas is as follows:

  PV=RT        (1)

Here,

P is pressure of gas.

V is molar volume of gas.

T is absolute temperature of gas.

R is universal gas constant.

The formula to calculate pressure of one mole of gas is as follows:

  P=RT(Vb)aV2        (2)

Here,

P is pressure of gas.

V is volume of gas.

T is absolute temperature of gas.

R is universal gas constant.

a and b are van der Waals parameters.

(a)

Expert Solution
Check Mark

Explanation of Solution

Rearrange equation (1) to calculate P.

  P=RTV        (3)

Substitute 30.0 L for V, 298 K for T, and 8.20574×102 LatmK1mol1 for R in equation (3).

  P=(8.20574×102 LatmK1mol1)(298 K)30.0 L=0.82 atm

Substitute 30.0 L for V, 298 K for T, 8.20574×102 LatmK1mol1 for R, 0.2452 barL2mol2 for a and 2.65×102 Lmol1 for b in equation (2).

  P=((8.20574×102 LatmK1mol1)(298 K)(30.0 L2.65×102 Lmol1))(0.2452 barL2mol2(30.0 L)2)=0.82 atm

Pressure exerted by 1.00 mol H2 at 298 K and 30.0 L with help of ideal gas equation and van der Waals equation is 0.82 atm and 0.82 atm respectively.

(b)

Interpretation Introduction

Interpretation:

Pressure exerted by 1.00 mol H2 at 298 K and 1.00 L with help of ideal gas equation and van der Waals equation has to be determined.

Concept Introduction:

Refer to part (a).

(b)

Expert Solution
Check Mark

Explanation of Solution

Rearrange equation (1) to calculate P.

  P=RTV        (3)

Substitute 1.00 L for V, 298 K for T, and 8.20574×102 LatmK1mol1 for R in equation (3).

  P=(8.20574×102 LatmK1mol1)(298 K)1.00 L=24.5 atm

Substitute 1.00 L for V, 298 K for T, 8.20574×102 LatmK1mol1 for R, 0.2452 barL2mol2 for a and 2.65×102 Lmol1 for b in equation (2).

  P=((8.20574×102 LatmK1mol1)(298 K)(1.00 L2.65×102 Lmol1))(0.2452 barL2mol2(1.00 L)2)=24.9 atm

Pressure exerted by 1.00 mol H2 at 298 K and 1.00 L with help of ideal gas equation and van der Waals is 24.5 atm and 24.9 atm respectively.

(c)

Interpretation Introduction

Interpretation:

Pressure exerted by 1.00 mol H2 at 298 K and 50.0 mL with help of ideal gas equation and van der Waals equation has to be determined. Also, reliability of ideal gas with pressure has to be determined.

Concept Introduction:

Refer to part (a).

(c)

Expert Solution
Check Mark

Explanation of Solution

Rearrange equation (1) to calculate P.

  P=RTV        (3)

Substitute 50.0 mL for V, 298 K for T, and 8.20574×102 LatmK1mol1 for R in equation (3).

  P=(8.20574×102 LatmK1mol1)(298 K)(50.0 mL)(103 L1 mL)=489.1 atm

Substitute 50.0 mL for V298 K for T, 8.20574×102 LatmK1mol1 for R, 0.2452 barL2mol2 for a and 2.65×102 Lmol1 for b in equation (2).

  P=((8.20574×102 LatmK1mol1)(298 K)((50.0 mL)(103 L1 mL)2.65×102 Lmol1))(0.2452 barL2mol2((50.0 mL)(103 L1 mL))2)=942.5 atm

Ideal gas equation and van der Waals equation have same values at low pressures but high differences arise when pressure is high.

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Chapter 3 Solutions

ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM

Ch. 3 - Prob. 3A.5ECh. 3 - Prob. 3A.6ECh. 3 - Prob. 3A.7ECh. 3 - Prob. 3A.8ECh. 3 - Prob. 3A.9ECh. 3 - Prob. 3A.10ECh. 3 - Prob. 3B.1ASTCh. 3 - Prob. 3B.1BSTCh. 3 - Prob. 3B.2ASTCh. 3 - Prob. 3B.2BSTCh. 3 - Prob. 3B.3ASTCh. 3 - Prob. 3B.3BSTCh. 3 - Prob. 3B.4ASTCh. 3 - Prob. 3B.4BSTCh. 3 - Prob. 3B.5ASTCh. 3 - Prob. 3B.5BSTCh. 3 - Prob. 3B.6ASTCh. 3 - Prob. 3B.6BSTCh. 3 - Prob. 3B.7ASTCh. 3 - Prob. 3B.7BSTCh. 3 - Prob. 3B.8ASTCh. 3 - Prob. 3B.8BSTCh. 3 - Prob. 3B.1ECh. 3 - Prob. 3B.2ECh. 3 - Prob. 3B.5ECh. 3 - Prob. 3B.6ECh. 3 - Prob. 3B.9ECh. 3 - Prob. 3B.10ECh. 3 - Prob. 3B.11ECh. 3 - Prob. 3B.12ECh. 3 - Prob. 3B.13ECh. 3 - Prob. 3B.14ECh. 3 - Prob. 3B.15ECh. 3 - Prob. 3B.16ECh. 3 - Prob. 3B.17ECh. 3 - Prob. 3B.18ECh. 3 - Prob. 3B.19ECh. 3 - Prob. 3B.20ECh. 3 - Prob. 3B.21ECh. 3 - Prob. 3B.22ECh. 3 - Prob. 3B.23ECh. 3 - Prob. 3B.24ECh. 3 - Prob. 3B.25ECh. 3 - Prob. 3B.26ECh. 3 - Prob. 3B.27ECh. 3 - Prob. 3B.28ECh. 3 - Prob. 3B.29ECh. 3 - Prob. 3B.30ECh. 3 - Prob. 3B.31ECh. 3 - Prob. 3B.32ECh. 3 - Prob. 3B.33ECh. 3 - Prob. 3B.34ECh. 3 - Prob. 3B.35ECh. 3 - Prob. 3B.36ECh. 3 - Prob. 3B.37ECh. 3 - Prob. 3B.38ECh. 3 - Prob. 3B.39ECh. 3 - Prob. 3B.40ECh. 3 - Prob. 3B.41ECh. 3 - Prob. 3B.42ECh. 3 - Prob. 3C.1ASTCh. 3 - Prob. 3C.1BSTCh. 3 - Prob. 3C.2ASTCh. 3 - Prob. 3C.2BSTCh. 3 - Prob. 3C.3ASTCh. 3 - Prob. 3C.3BSTCh. 3 - Prob. 3C.1ECh. 3 - Prob. 3C.2ECh. 3 - Prob. 3C.3ECh. 3 - Prob. 3C.4ECh. 3 - Prob. 3C.5ECh. 3 - Prob. 3C.6ECh. 3 - Prob. 3C.7ECh. 3 - Prob. 3C.8ECh. 3 - Prob. 3C.9ECh. 3 - Prob. 3C.10ECh. 3 - Prob. 3C.11ECh. 3 - Prob. 3C.12ECh. 3 - Prob. 3C.13ECh. 3 - Prob. 3C.14ECh. 3 - Prob. 3C.15ECh. 3 - Prob. 3C.16ECh. 3 - Prob. 3D.1ASTCh. 3 - Prob. 3D.1BSTCh. 3 - Prob. 3D.2ASTCh. 3 - Prob. 3D.2BSTCh. 3 - Prob. 3D.1ECh. 3 - Prob. 3D.2ECh. 3 - Prob. 3D.3ECh. 3 - Prob. 3D.4ECh. 3 - Prob. 3D.5ECh. 3 - Prob. 3D.6ECh. 3 - Prob. 3D.7ECh. 3 - Prob. 3D.8ECh. 3 - Prob. 3D.9ECh. 3 - Prob. 3D.10ECh. 3 - Prob. 3D.11ECh. 3 - Prob. 3D.12ECh. 3 - Prob. 3D.13ECh. 3 - Prob. 3D.14ECh. 3 - Prob. 3D.15ECh. 3 - Prob. 3D.16ECh. 3 - Prob. 3D.17ECh. 3 - Prob. 3D.18ECh. 3 - Prob. 3E.1ASTCh. 3 - Prob. 3E.1BSTCh. 3 - Prob. 3E.1ECh. 3 - Prob. 3E.2ECh. 3 - Prob. 3E.3ECh. 3 - Prob. 3E.4ECh. 3 - Prob. 3E.5ECh. 3 - Prob. 3E.6ECh. 3 - Prob. 3E.7ECh. 3 - Prob. 3E.8ECh. 3 - Prob. 3E.9ECh. 3 - Prob. 3E.10ECh. 3 - Prob. 3E.13ECh. 3 - Prob. 3E.14ECh. 3 - Prob. 3F.1ASTCh. 3 - Prob. 3F.1BSTCh. 3 - Prob. 3F.2ASTCh. 3 - Prob. 3F.2BSTCh. 3 - Prob. 3F.3ASTCh. 3 - Prob. 3F.3BSTCh. 3 - Prob. 3F.1ECh. 3 - Prob. 3F.2ECh. 3 - Prob. 3F.3ECh. 3 - Prob. 3F.4ECh. 3 - Prob. 3F.5ECh. 3 - Prob. 3F.6ECh. 3 - Prob. 3F.7ECh. 3 - Prob. 3F.8ECh. 3 - Prob. 3F.9ECh. 3 - Prob. 3F.10ECh. 3 - Prob. 3F.11ECh. 3 - Prob. 3F.12ECh. 3 - Prob. 3F.13ECh. 3 - Prob. 3F.14ECh. 3 - Prob. 3F.15ECh. 3 - Prob. 3F.16ECh. 3 - Prob. 3F.17ECh. 3 - Prob. 3F.18ECh. 3 - Prob. 3F.19ECh. 3 - Prob. 3F.20ECh. 3 - Prob. 3F.21ECh. 3 - Prob. 3F.22ECh. 3 - Prob. 3G.1ECh. 3 - Prob. 3G.2ECh. 3 - Prob. 3G.3ECh. 3 - Prob. 3G.4ECh. 3 - Prob. 3G.5ECh. 3 - Prob. 3G.6ECh. 3 - Prob. 3G.7ECh. 3 - Prob. 3G.8ECh. 3 - Prob. 3G.9ECh. 3 - Prob. 3G.10ECh. 3 - Prob. 3G.11ECh. 3 - Prob. 3G.12ECh. 3 - Prob. 3G.13ECh. 3 - Prob. 3G.14ECh. 3 - Prob. 3G.15ECh. 3 - Prob. 3G.16ECh. 3 - Prob. 3G.17ECh. 3 - Prob. 3G.18ECh. 3 - Prob. 3H.1ASTCh. 3 - Prob. 3H.1BSTCh. 3 - Prob. 3H.2ASTCh. 3 - Prob. 3H.2BSTCh. 3 - Prob. 3H.3ASTCh. 3 - Prob. 3H.3BSTCh. 3 - Prob. 3H.4ASTCh. 3 - Prob. 3H.4BSTCh. 3 - Prob. 3H.5ASTCh. 3 - Prob. 3H.5BSTCh. 3 - Prob. 3H.1ECh. 3 - Prob. 3H.2ECh. 3 - Prob. 3H.3ECh. 3 - Prob. 3H.4ECh. 3 - Prob. 3H.5ECh. 3 - Prob. 3H.6ECh. 3 - Prob. 3H.7ECh. 3 - Prob. 3H.8ECh. 3 - Prob. 3H.9ECh. 3 - Prob. 3H.10ECh. 3 - Prob. 3H.11ECh. 3 - Prob. 3H.12ECh. 3 - Prob. 3H.13ECh. 3 - Prob. 3H.14ECh. 3 - Prob. 3H.15ECh. 3 - Prob. 3H.16ECh. 3 - Prob. 3H.17ECh. 3 - Prob. 3H.19ECh. 3 - Prob. 3H.20ECh. 3 - Prob. 3H.23ECh. 3 - Prob. 3H.24ECh. 3 - Prob. 3H.25ECh. 3 - Prob. 3H.26ECh. 3 - Prob. 3H.27ECh. 3 - Prob. 3H.28ECh. 3 - Prob. 3H.29ECh. 3 - Prob. 3H.30ECh. 3 - Prob. 3H.31ECh. 3 - Prob. 3H.32ECh. 3 - Prob. 3H.33ECh. 3 - Prob. 3H.34ECh. 3 - Prob. 3H.35ECh. 3 - Prob. 3H.36ECh. 3 - Prob. 3I.1ASTCh. 3 - Prob. 3I.1BSTCh. 3 - Prob. 3I.2ASTCh. 3 - Prob. 3I.2BSTCh. 3 - Prob. 3I.3ASTCh. 3 - Prob. 3I.3BSTCh. 3 - Prob. 3I.4ASTCh. 3 - Prob. 3I.4BSTCh. 3 - Prob. 3I.1ECh. 3 - Prob. 3I.2ECh. 3 - Prob. 3I.3ECh. 3 - Prob. 3I.4ECh. 3 - Prob. 3I.5ECh. 3 - Prob. 3I.6ECh. 3 - Prob. 3I.7ECh. 3 - Prob. 3I.8ECh. 3 - Prob. 3I.11ECh. 3 - Prob. 3I.12ECh. 3 - Prob. 3I.13ECh. 3 - Prob. 3I.14ECh. 3 - Prob. 3I.15ECh. 3 - Prob. 3I.16ECh. 3 - Prob. 3J.1ASTCh. 3 - Prob. 3J.1BSTCh. 3 - Prob. 3J.2ASTCh. 3 - Prob. 3J.2BSTCh. 3 - Prob. 3J.3ASTCh. 3 - Prob. 3J.3BSTCh. 3 - Prob. 3J.1ECh. 3 - Prob. 3J.2ECh. 3 - Prob. 3J.3ECh. 3 - Prob. 3J.4ECh. 3 - Prob. 3J.5ECh. 3 - Prob. 3J.6ECh. 3 - Prob. 3J.7ECh. 3 - Prob. 3J.8ECh. 3 - Prob. 3J.9ECh. 3 - Prob. 3J.10ECh. 3 - Prob. 3J.11ECh. 3 - Prob. 3J.12ECh. 3 - Prob. 3J.13ECh. 3 - Prob. 3J.14ECh. 3 - Prob. 3J.15ECh. 3 - Prob. 3J.16ECh. 3 - Prob. 3.1ECh. 3 - Prob. 3.2ECh. 3 - Prob. 3.3ECh. 3 - Prob. 3.4ECh. 3 - Prob. 3.5ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - Prob. 3.9ECh. 3 - Prob. 3.10ECh. 3 - Prob. 3.11ECh. 3 - Prob. 3.12ECh. 3 - Prob. 3.13ECh. 3 - Prob. 3.15ECh. 3 - Prob. 3.18ECh. 3 - Prob. 3.19ECh. 3 - Prob. 3.23ECh. 3 - Prob. 3.24ECh. 3 - Prob. 3.25ECh. 3 - Prob. 3.26ECh. 3 - Prob. 3.27ECh. 3 - Prob. 3.29ECh. 3 - Prob. 3.31ECh. 3 - Prob. 3.32ECh. 3 - Prob. 3.35ECh. 3 - Prob. 3.36ECh. 3 - Prob. 3.37ECh. 3 - Prob. 3.38ECh. 3 - Prob. 3.40ECh. 3 - Prob. 3.41ECh. 3 - Prob. 3.42ECh. 3 - Prob. 3.45ECh. 3 - Prob. 3.47ECh. 3 - Prob. 3.49ECh. 3 - Prob. 3.50ECh. 3 - Prob. 3.51ECh. 3 - Prob. 3.53ECh. 3 - Prob. 3.54ECh. 3 - Prob. 3.55ECh. 3 - Prob. 3.56ECh. 3 - Prob. 3.57ECh. 3 - Prob. 3.58ECh. 3 - Prob. 3.59ECh. 3 - Prob. 3.60ECh. 3 - Prob. 3.61ECh. 3 - Prob. 3.62ECh. 3 - Prob. 3.63ECh. 3 - Prob. 3.64ECh. 3 - Prob. 3.65ECh. 3 - Prob. 3.66ECh. 3 - Prob. 3.67ECh. 3 - Prob. 3.68E
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