Data Sheet:

Note: Any fact not provided here will NOT be provided during the examination, and it is the student's responsibility to memorize it (if necessary).

R = 8.314 47 J K ^-1 mol ^-1 = 8.314 47 × 10 ^-2 L bar K ^-1 mol ^-1 = 8.205 74 × 10 ^-2 L atm K ^-1 mol ^-1 = 6.236 37 × 10 ¹ L Torr K ^-1 mol ^-1.

k = 1.380 65 × 10 ^-23 J K ^-1.

g = 9.81 m s ^-2.

1 J = 1 kg m² s ^-2.

1 W = 1 J s^-1.

1 N = 1 kg m s ^-2.

1 Pa = 1 N m ^-2 = 1 kg m ^-1 s ^-2 = 1 J m ^-3.

1 atm = 101.325 kPa.

1 bar = 1.0 × 10⁵ Pa.

1 Torr = 101325/760 Pa (exactly)

w = -nRT ln(V_f / V_i).

w = -C_V ΔT.

V_iT_i ^c = V_fT_f ^c, c = C_{V, m}/R.

pV^&gamma = constant, &gamma = C_{p, m} / C_{V, m}. For monoatomic perfect gas, C_{V, m} = 3R/2. For non-linear polyatomic perfect gas, C_{V, m} = 3R.

C_{p, m} = 20.786 J K ^-1 mol ^-1 for He, Ne, Ar, Xe.

G(p_f) = G(p_i) + nRT ln(p_f/p_i).

G(p_f) = G(p_i) + V_m(p_f - p_i).

G_m = G_m* + RT ln(f/p*).

f = φ p.

(p - p*)/p* ≈ V_M ΔP/RT

dp/dT = Δ_trsS / Δ_trsV.

p = p* + (Δ_fusH/Δ_fusV)ln(T/T*).

p ≈ p* + (Δ_fusH/Δ_fusV)(T - T*).

d ln p/dT = Δ _vapH/RT².

p = p* e ^-χ, &chi =Δ_vap(T ^-1 - T* ^-1) /R.

dw = γ dσ.

p_in = p_out + 2γ/r.

h = 2γ/ρgr.

dV = V = (∂V/∂n_A) _{p, t, n'} dn_A + (∂V/∂n_B) _{p, t, n'} dn_B

V= n_AV_A + n_BV_B, binary mixture.

G = n_Aμ_A + n_Bμ_B, binary mixture.

n_Adμ_A + n_Bdμ_B = 0; Σ n_Jdμ_J = 0.

Δ_mix G = nRT(x_A ln x_A + x_B ln x_B), for perfect gases

Δ_mix S = -nR(x_A ln x_A + x_B ln x_B), for perfect gases

p_A = x_A p_A^*.

p_B = x_B K_B.

μ_A*(g) = μ_A*(l) + RT x_A.

ΔT = Kx_B, K = RT*²/Δ_vapH.

ΔT = K_bb, K_b is ebullioscopic constant.

μ_A*(s) = μ_A*(l) + RT x_A.

ΔT = K'x_B, K' = RT*²/Δ_fusH.

ΔT = K_fb, K_f is cryoscopic constant.

F = C - P +2

p = p_A + p_B = p*_B + (p*_A - p*_B) x_A, in terms of x_A.

p = p_A*p_B / [p*_A + (p*_B - p*_A) y_A], in terms of y_A.

y_A = x_Ap*_A / [p*_B + (p*_A - p*_B) x_A].

n_α l_α = n_β l_β.

k = Ae^E/RT.

Lindemann-Hinshelwood mechanism: d[P]/dt = k_ak_b[A]² / (k_b + k_a'[A]).

Test Grading:

Units are an essential part of the answer, unless a unitless quantity is requested in the problem. Answers without units are WRONG, and will receive zero credit.

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