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What is the rms speed of nitrogen molecules contained in a 13^(3) m volume at 4.2 atm if the total amount of nitrogen is 1700 mol? (Note: the molar mass of nitrogen molecules is 28 g/mol.)

What is the rms speed of nitrogen molecules contained in a 13^(3) m volume at 4.2 atm if the total amount of nitrogen is 1700 mol? (Note: the molar mass of nitrogen molecules is 28 g/mol.)

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What is the rms speed of nitrogen molecules contained in a
13^(3) m volume at 4.2 atm if the total amount of nitrogen is 1700 mol? (Note: the molar mass of nitrogen molecules is 28 g/mol.)

THERMODYNAMICS Thermal Expansion: AL = aL,AT AV = BV,AT Ideal Gas Law: PV = nRT = NkT Kinetic Theory: KE=mvms =kT (ideal gas) Equipartition Principle: Eint =kT (Cy =}R) per active degree of freedom Calorimetry: Molar Heat Capacities: Q = MCAT = NCAT Q= mL y =C, / Cy First Law of Thermodynamics: AEn = Q-W (W is work done by system) (independent of path) Cp - Cy = R Internal energy: AEin = NC,AT Work: W = |P dV = 0 (isochoric ) = PAV (isobaric) = nRT In (V, /V,) (isotherma l) Adiabatic processes: Q=0 PV' = constant ΔQ = kA At ΔΤ ΔQ = ɛgATª At Conduction: Radiation: Ax TL TH Heat Engines: e = =1- 31- = ejdeal Entropy: Q AS = S= k ln W AS 20 (2nd Law of Thermodynamics) l'ave Avogadro's Number: N = 6.02 x 10 23 mol -1 Boltzmann's constant: k =1.38 x 10-23 J/K Atmospheric pressure: Standard Temperature & Pressure (STP): 1 atm =1.01 × 105 Pa P =1 atm T = 0°C Т. 3 - 273.15 °C R=8.314 J/mol · K 1 cal = 4.186 J o = 5.67 × 10-8 W/m2 - K4 lu =1.66 x 10-27 kg Absolute zero: Ideal Gas constant: Mechanical Equivalent of Heat: Stefan-Boltzmann constant: Atomic mass unit: ОРTICS Speed of light: c=3.00 × 10® m/s in vacuum v=c/n in a medium Reflection: 0; = 0, Refraction: n, sin 0, = n, sin 02 1 Spherical Mirrors and Lenses: d. h; m = d; h, 1 1 2 %3D d; f Rminor d. 1 1 = (n - 1) –+ R, Lensmaker's Equation: P= f R2 Thin film interference: 2t = {m_or (m+½}a/ nglm Double slit interference & Diffraction gratings: dsin 0 = må (bright fringes) Single slit diffraction: a sin 0 = m2 (dark fringes) Circular diffraction & Rayleigh criterion: sin 0 =1.222/ D (first dark fringe) Polarizers: I =}I, (originally unpolarized) I = I, cos² 0 (already polarized)
Transcribed Image Text:THERMODYNAMICS Thermal Expansion: AL = aL,AT AV = BV,AT Ideal Gas Law: PV = nRT = NkT Kinetic Theory: KE=mvms =kT (ideal gas) Equipartition Principle: Eint =kT (Cy =}R) per active degree of freedom Calorimetry: Molar Heat Capacities: Q = MCAT = NCAT Q= mL y =C, / Cy First Law of Thermodynamics: AEn = Q-W (W is work done by system) (independent of path) Cp - Cy = R Internal energy: AEin = NC,AT Work: W = |P dV = 0 (isochoric ) = PAV (isobaric) = nRT In (V, /V,) (isotherma l) Adiabatic processes: Q=0 PV' = constant ΔQ = kA At ΔΤ ΔQ = ɛgATª At Conduction: Radiation: Ax TL TH Heat Engines: e = =1- 31- = ejdeal Entropy: Q AS = S= k ln W AS 20 (2nd Law of Thermodynamics) l'ave Avogadro's Number: N = 6.02 x 10 23 mol -1 Boltzmann's constant: k =1.38 x 10-23 J/K Atmospheric pressure: Standard Temperature & Pressure (STP): 1 atm =1.01 × 105 Pa P =1 atm T = 0°C Т. 3 - 273.15 °C R=8.314 J/mol · K 1 cal = 4.186 J o = 5.67 × 10-8 W/m2 - K4 lu =1.66 x 10-27 kg Absolute zero: Ideal Gas constant: Mechanical Equivalent of Heat: Stefan-Boltzmann constant: Atomic mass unit: ОРTICS Speed of light: c=3.00 × 10® m/s in vacuum v=c/n in a medium Reflection: 0; = 0, Refraction: n, sin 0, = n, sin 02 1 Spherical Mirrors and Lenses: d. h; m = d; h, 1 1 2 %3D d; f Rminor d. 1 1 = (n - 1) –+ R, Lensmaker's Equation: P= f R2 Thin film interference: 2t = {m_or (m+½}a/ nglm Double slit interference & Diffraction gratings: dsin 0 = må (bright fringes) Single slit diffraction: a sin 0 = m2 (dark fringes) Circular diffraction & Rayleigh criterion: sin 0 =1.222/ D (first dark fringe) Polarizers: I =}I, (originally unpolarized) I = I, cos² 0 (already polarized)
WAVES 27 Simple Harmonic Motion: x(t) = Acos(@t + Ø) @ = 2nf : T a =-o?x %3D max Springs: F =-kx U =}kx? @= \k/m Simple Pendulum: @=Jg/L D(x,t) = DM sin(kx±@t + ø) v = f1 = - k Waves: k = Transverse waves on a string: v= F, /µ ny f. 2L Standing waves on a string: (n=1,2,3...) ny Standing waves in a pipe with one closed end: fn 4L (n=1,3,5...) ny Standing waves in a pipe with two open ends: fn (n=1,2,3...) 2L P Intensity of waves: I = 27? pvf² DM A Sound level: B = (10 dB) log 10 (I / I ) I c1/r? = 10¬12 W/m2 v±v f'= upper: towards lower: away observer Doppler Effect: y FV source Beat frequency: foeat =|f2 - fll g=9.80 m/s ? Speed of sound in air at 20°C: v=343 m/s 2 Acceleration due to gravity:
Transcribed Image Text:WAVES 27 Simple Harmonic Motion: x(t) = Acos(@t + Ø) @ = 2nf : T a =-o?x %3D max Springs: F =-kx U =}kx? @= \k/m Simple Pendulum: @=Jg/L D(x,t) = DM sin(kx±@t + ø) v = f1 = - k Waves: k = Transverse waves on a string: v= F, /µ ny f. 2L Standing waves on a string: (n=1,2,3...) ny Standing waves in a pipe with one closed end: fn 4L (n=1,3,5...) ny Standing waves in a pipe with two open ends: fn (n=1,2,3...) 2L P Intensity of waves: I = 27? pvf² DM A Sound level: B = (10 dB) log 10 (I / I ) I c1/r? = 10¬12 W/m2 v±v f'= upper: towards lower: away observer Doppler Effect: y FV source Beat frequency: foeat =|f2 - fll g=9.80 m/s ? Speed of sound in air at 20°C: v=343 m/s 2 Acceleration due to gravity:
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