Using Table A.5 in Appendix A, (a) What are the ideal specific heat at constant pressure, cp ; the ideal specific heat at constant volume, cv ; and the ideal specific heat ratio, k = (cp /cv )fornitrogen atroom temperature (68^◦ F)? (b)What are the ideal specific heat atconstant pressure, cp

Question

Using Table A.5 in Appendix A, (a) What are the ideal specific heat at constant pressure, [latex]C_{p} [/latex]; the ideal specific heat at constant volume, [latex]C_{\upsilon } [/latex]; and the ideal specific heat ratio, [latex]K=(C_{p} /C_{\upsilon } )[/latex]fornitrogen atroom temperature [latex](68^{\circ } F)[/latex]? (b)What are the ideal specific heat at constant pressure, [latex]C_{p}[/latex];the ideal specific heat atconstant volume, [latex]C_{\upsilon } [/latex];and the ideal specific heat ratio, [latex]K=(C_{p} /C_{\upsilon } )[/latex] for methane at room temperature [latex](20^{\circ } C)[/latex]?

Table A.5
Physical Properties for Some Common Gases at Standard Sea-Level Atmospheric Pressure at Room Temperature [latex](68^{\circ } or 20^{\circ }C )[/latex]
Gas at [latex]68^{\circ }[/latex]	Chemical Formula	Molar Mass (m) slug=slug- mol	Density (ρ) [latex]slug/ft^{3} [/latex]	Absolute (Dynamic) Viscosity (μ) [latex]10^{-6} Ib-sec/ft^{2} [/latex]	Gas Constant (R) [latex]ft-Ib/(slug-^{\circ }R )=ft^{2}/(sec^{2} -^{\circ }R )[/latex]	Specific Heat		Specific Heat Ratio, [latex]K=C_{\rho }/C_{\upsilon }[/latex]
						[latex]C_{\rho }[/latex]	[latex]C_{\upsilon } [/latex]
						[latex]ft-Ib/(slug-^{\circ }R )=ft^{2}/(sec^{2} -^{\circ }R )[/latex]
Air		28.960	0.002310	0.376	1715	6000	4285	1.40
Carbon dioxide	[latex]CO_{2} [/latex]	44.010	0.003540	0.310	1123	5132	4009	1.28
Carbon monoxide	CO	28.010	0.002260	0.380	1778	6218	4440	1.40
Helium	He	4.003	0.000323	0.411	12.420	31.230	31.230	1.66
Hydrogen	[latex]H_{2}[/latex]	2.016	0.000162	0.189	24.680	86.390	86.390	1.40
Methane	[latex]CH_{2}[/latex]	16.040	0.001290	0.280	3100	13.400	13.400	1.30
Nitrogen	[latex]N_{2}[/latex]	28.020	0.002260	0.368	1773	6210	4437	1.40
Oxygen	[latex]O_{2}[/latex]	32.000	0.002580	0.418	1554	5437	3883	1.40
Water vapor	[latex]H_{2}O[/latex]	18.020	0.001450	0.212	2760	11.110	8350	1.33
at [latex]20^{\circ } C[/latex]		kg/kg-mol	[latex]kg/m^{3} [/latex]	[latex]10^{-6} N-sec/m^{2} [/latex]	[latex]N-m/(kg-^{\circ}K )=m^{2} /(sec^{2}-^{\circ}K )[/latex]	[latex]N-m/(kg-^{\circ}K )=m^{2} /(sec^{2}-^{\circ}K )[/latex]
Air		28.960	1.2050	18.0	287	1003	716	1.40
Carbon dioxide	[latex]CO_{2} [/latex]	44.010	1.8400	14.8	188	858	670	1.28
Carbon monoxide	CO	28.010	1.1600	18.2	297	1040	743	1.40
Helium	He	4.003	0.1660	19.7	2077	5220	3143	1.66
Hydrogen	[latex]H_{2}[/latex]	2.016	0.0839	9.0	4120	14.450	10.330	1.40
Methane	[latex]CH_{2}[/latex]	16.040	0.6680	13.4	520	2250	1730	1.30
Nitrogen	[latex]N_{2}[/latex]	28.020	1.1600	17.6	297	1040	743	1.40
Oxygen	[latex]O_{2}[/latex]	32.000	1.3300	20.0	260	909	649	1.40
Water vapor	[latex]H_{2}O[/latex]	18.020	0.7470	10.1	462	1862	1400	1.33

Accepted Answer

(a) The ideal specific heat at constant pressure, [latex]C_{p} [/latex]; the ideal specific heat at constant volume, [latex]C_{\upsilon } [/latex]; and the ideal specific heat ratio, [latex]K=(C_{p} /C_{\upsilon } )[/latex] for nitrogen at room temperature [latex](68^{\circ } F)[/latex] are as follows:

[latex]C_{p} =6.210ft-lb/slug-^{\circ }R[/latex]
[latex]C_{\upsilon } =4.437-lb/slug-^{\circ }R[/latex]
[latex]K=\frac{C_{p}}{C_{\upsilon }} =1.40[/latex]

(b) The ideal specific heat at constant pressure, [latex]C_{p} [/latex]; the ideal specific heat at constant volume, [latex]C_{\upsilon } [/latex]; and the ideal specific heat ratio, [latex]K=(C_{p} /C_{\upsilon } )[/latex] for methane at room temperature [latex](20^{\circ } C)[/latex] are as follows:

[latex]C_{p} =2.250N-m/kg-^{\circ }K[/latex]
[latex]C_{\upsilon } =1.730N-m/kg-^{\circ }K[/latex]
[latex]K=\frac{C_{p}}{C_{\upsilon }} =1.30 [/latex]

Question 1.40: Using Table A.5 in Appendix A, (a) What are the ideal specif...

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