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Calculate the molar mass of a substance given the atomic masses of its components (simplified).
Calculate the molarity of a solution given moles of solute and liters of solution.
Calculate Pressure (P) using the Ideal Gas Law: PV = nRT.
Calculate final pressure given initial conditions (P1V1 = P2V2).
Calculate final volume given initial conditions (V1/T1 = V2/T2).
Calculate density from mass and volume.
Calculate pH given hydrogen ion concentration [H+].
Calculate pOH given hydroxide ion concentration [OH-].
Calculate the mass percent of a component in a mixture.
Calculate the volume needed for dilution.
Calculate volume/moles changes (V1/n1 = V2/n2).
Calculate pressure/temp changes (P1/T1 = P2/T2).
Solve for P2 using P1V1/T1 = P2V2/T2.
Calculate ΔG = ΔH - TΔS.
Calculate heat energy required.
Calculate concentration at time t: [A] = [A]0 - kt.
Calculate concentration [A] = [A]0 * e^(-kt).
Calculate half life t1/2 = 0.693 / k.
Calculate Kc for reaction aA + bB -> cC + dD (simplified for 1:1 stoichiometry).
Calculate ΔTb = i * Kb * m.
Calculate ΔTf = i * Kf * m.
Calculate π = iMRT.
Calculate cell potential at non-standard conditions.
Calculate energy of a photon given frequency.
Calculate frequency from wavelength (c=λf).
Calculate pH of a buffer solution.
Estimate solubility s for a 1:1 salt (s = √Ksp).
Calculate percent yield from actual and theoretical yield.
Calculate FC = Valence - NonBonding - (Bonding/2).
Calculate BO = (Bonding - Antibonding) / 2.
Calculate Urms = √(3RT/M). Note: M in kg/mol.
Calculate Rate1/Rate2 = √(M2/M1).
Calculate Solubility C = kP.
Calculate rate constant k = A * e^(-Ea/RT).
Calculate |Actual - Theoretical| / Theoretical * 100.
Calculate Absorbance.
Calculate Dipole Moment.
Calculate Zeff = Z - S.
Calculate 1/λ = R * (1/n1² - 1/n2²).
Calculate ΔS° = ΣS°(products) - ΣS°(reactants) (Simple 1 prod - 1 react case).
Calculate time elapsed given remaining amount.
Calculate Binding Energy E=dm*c^2.
Calculate wavelength λ = h/mv.
Calculate min uncertainty in position (Δx ≥ h/4πΔp).
Calculate mass deposited m = (I*t*M)/(n*F).
Calculate E°cell = E°cathode - E°anode.
Calculate ΔSsurr = -ΔHsys / T.
Calculate molality m = moles solute / kg solvent.
Calculate ppm = (mass solute / mass solution) * 10^6.
Calculate ppb = (mass solute / mass solution) * 10^9.
Calculate Normality N = M * n (equivalence factor).
Calculate mole fraction Xa = na / (na + nb).
Calculate Pressure using Real Gas equation.
Determine limiting moles (min(nA/a, nB/b)).
Calculate yield = limiting_moles * product_coeff * molar_mass.
Convert Temperature from Celsius to Kelvin.
Convert Temperature from Kelvin to Celsius.
Convert Pressure atm to Torr.
Convert Pressure Torr to atm.
Convert Energy J to cal.
Convert Energy cal to J.
Calculate Ka = 10^(-pKa).
Calculate pKa = -log(Ka).
Calculate Kb = 10^(-pKb).
Calculate pKb = -log(Kb).
Use pKa + pKb = 14 (at 25°C).
Calculate I = 0.5 * Σ(ci * zi^2) for 2 ions.
Calculate P_sol = X_solv * P0_solv.
Simplified proportional calc E ∝ (q1*q2)/(r0).
Return Atomic Packing Factor for FCC crystal.
Return Atomic Packing Factor for BCC crystal.
Calculate angle θ = asin(nλ / 2d). (Result in degrees)
Calculate Avg Mass from 2 isotopes.
Calculate DoU = C - H/2 - X/2 + N/2 + 1.
Beta ≈ 2.303 * (Kw/[H+] + [H+] + (Cbuf*Ka*[H+])/(Ka+[H+])^2). Simplified: Beta ≈ C_base if pH=pKa.
Given k1, T1, k2, T2 calculate Ea.
Calculate Rate V = (Vmax * [S]) / (Km + [S]).
Calculate Rf = Distance Spot / Distance Solvent.
Calculate v~ = 1/λ (cm^-1).
Compute Av = M / (1/12 * Carbon-12). Validating standard.
Calculate SG = Density Substance / Density Water.
Calculate DF = V_final / V_initial.
Calculate kcat = Vmax / [E]t.
Calculate τ = V / Q.
Calculate Eff = kcat / Km.
Theta = KP / (1 + KP).
Check Sum(Cation) vs Sum(Anion).
Calculate Vrms = sqrt(3RT/M).
Rate1/Rate2 = sqrt(M2/M1).
Energy of electron in level n: E = -2.178e-18 / n^2.
Osmolarity = Molarity * Dissociation Particles.
Calculate heat q = m * ΔHfus.
Calculate heat q = m * ΔHvap.
BO = (Bonding Electrons - Antibonding Electrons) / 2.
Neutrons = Mass Number - Atomic Number.
Max electrons in shell n = 2n^2.
Concentration C = kH * P.
1/λ = R * (1/n1^2 - 1/n2^2). Returns λ in nm.
Zeff = Z - S (Shielding Constant).
% Error = |(Accepted - Exp) / Accepted| * 100.
Calculate m_dot = density * area * velocity.
Re = (rho * v * D) / mu.
log10(P) = A - (B / (T + C)). Returns P in mmHg.
ln(P2/P1) = (-ΔHvap/R) * (1/T2 - 1/T1). Solves for ΔHvap.
%IC = 1 - exp(-0.25 * (Xa - Xb)^2) * 100.
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