Explanation Write the expression to obtain the molar mass of the mixture ( M m ) . M m = y CO 2 M CO 2 + y O 2 M O 2 + y N 2 M N 2 (I) Here, mole fraction of CO 2 , O 2 , and N 2 is y CO 2 , y O 2 , and y N 2 , molar masses of CO 2 , O 2 , and N 2 is M CO 2 , M O 2 , and M N 2 respectively. Write the expression to obtain the mass fraction of O 2 ( mf O 2 ) . mf O 2 = y O 2 M O 2 M m (II) Write the expression to obtain the mass fraction of CO 2 ( mf CO 2 ) . mf CO 2 = y CO 2 M CO 2 M m (III) Write the expression to obtain the mass fraction of N 2 ( mf N 2 ) . mf N 2 = y N 2 M N 2 M m (IV) Write the expression to obtain the enthalpy change of CO 2 ( Δ h CO 2 ) . Δ h CO 2 = h ¯ @ 500 K − h ¯ @ 300 K M CO 2 (V) Here, enthalpy of CO 2 at 500 K is h ¯ @ 500 K and enthalpy of CO 2 at 300 K is h ¯ @ 300 K . Write the expression to obtain the enthalpy change of O 2 ( Δ h O 2 ) . Δ h O 2 = h ¯ @ 500 K − h ¯ @ 300 K M O 2 (VI) Here, enthalpy of O 2 at 500 K is h ¯ @ 500 K and enthalpy of O 2 at 300 K is h ¯ @ 300 K . Write the expression to obtain the enthalpy change of N 2 ( Δ h N 2 ) . Δ h N 2 = h ¯ @ 500 K − h ¯ @ 300 K M N 2 (VII) Here, enthalpy of N 2 at 500 K is h ¯ @ 500 K and enthalpy of N 2 at 300 K is h ¯ @ 300 K . Write the expression to obtain the enthalpy change of the mixture ( Δ h m ) . Δ h m = mf CO 2 Δ h CO 2 + mf O 2 Δ h O 2 + mf N 2 Δ h N 2 (VIII) Conclusion: Refer Table A-1E, “Molar mass, gas constant, and critical point properties”, obtain the molar masses of CO 2 , O 2 , and N 2 as 44.0 kg / kmol , 32.0 kg / kmol , and 28.0 kg / kmol . Substitute 0.20 for y CO 2 , 0.10 for y O 2 , 0.70 for y N 2 , 44.0 kg / kmol for M CO 2 , 32.0 kg / kmol for M O 2 , and 28.0 kg / kmol for M N 2 in Equation (I). M m = ( 0.20 ) ( 44.0 kg / kmol ) + ( 0.10 ) ( 32.0 kg / kmol ) + ( 0.70 ) ( 28.0 kg / kmol ) = 31.60 kg / kmol Substitute 0.10 for y O 2 , 32.0 kg / kmol for M O 2 , and 31.60 kg / kmol for M m in Equation (II). mf O 2 = 0.10 ( 32.0 kg / kmol 31

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A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substan…

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Chapter 13.3, Problem 53P

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The mass fraction of O2, CO2, N2 and the enthalpy change per unit mass of the mixture.

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Chapter 13.3, Problem 52P

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