Answer:
- final temperature (T2) = 748.66 K
- ΔU = w = 5620.26 J
- ΔH = 9367.047 J
- q = 0
Explanation:
ideal gas:
reversible adiabatic compression:
∴ q = 0
∴ w = - PδV
⇒ δU = δw
⇒ CvδT = - PδV
ideal gas:
⇒ PδV + VδP = RδT
⇒ PδV = RδT - VδP = - CvδT
⇒ RδT - RTn/PδP = - CvδT
⇒ (R + Cv,m)∫δT/T = R∫δP/P
⇒ [(R + Cv,m)/R] Ln (T2/T1) = Ln (P2/P1) = Ln (1 E6/1 E5) = 2.303
∴ (R + Cv,m)/R = (R + (3/2)R)/R = 5/2R/R = 2.5
⇒ Ln(T2/T1) = 2.303 / 2.5 = 0.9212
⇒ T2/T1 = 2.512
∴ T1 = 298 K
⇒ T2 = (298 K)×(2.512)
⇒ T2 = 748.66 K
⇒ ΔU = Cv,mΔT
⇒ ΔU = (3/2)R(748.66 - 298)
∴ R = 8.314 J/K.mol
⇒ ΔU = 5620.26 J
⇒ w = 5620.26 J
⇒ ΔH = ΔU + nRΔT
⇒ ΔH = 5620.26 J + (1 mol)(8.314 J/K.mol)(450.66 K)
⇒ ΔH = 5620.26 J + 3746.787 J
⇒ ΔH = 9367.047 J
Answer:
1.0555 * 10^24 molecules
Explanation:
Number of molecules = ?
Mass = 3.79 Kg = 3790 g
Molar mass of Cs7(Cr5O3)4 = 2162.25 g/mol
Number of moles = Mass / Molar mass
Number of moles = 3790 g / 2162.25 g/mol
Number of moles = 1.7528 mol
1 mol = 6.022 * 10^23 molecules
1.7528 mol = x
solving for x;
x = 6.022 * 10^23 * 1.7528
x = 1.0555 * 10^24 molecules
Explanation:
Formula for black body radiation is as follows.
where, P = power emitted
A = surface area of black body
= Stephen's constant = 
As area is given as 1.0 
. Converting it into meters as follows.
(as 1 m = 100 cm)
= 
It is given that P = 201 watts. Hence,
= 
= 
T = 
= 8862.5 K
Thus, we can conclude that the temperature of the surface is 8862.5 K.
Answer:
nitrogen, oxygen, argon, carbon dioxide, neon, helium, krypton, hydrogen, and xenon. It does not include water vapor because the amount of vapor changes based on humidity and temperature.
