Equations Flashcards
How do you calculate the relative atomic mass of an element?
- (mass number of isotope 1 × abundance) + (mass number of isotope 2 × abundance), etc./ 100
What is the ideal gas equation?
- pV= nRT
- p= pressure (Pascals, Pa)
- V= volume (m^3)
- n= amount of substance (moles, mol)
- R= ideal gas constant: 8.314 (J mol^-1 K^-1)
- T= temperature (Kelvin, K)
What is the equation for percentage yield?
- (Actual yield/ theoretical yield) x100
How is atom economy calculated?
- (sum of molar masses of desired products/ sum of molar masses of all products) x100
How do you calculate percentage uncertainty?
- [(Uncertainty × multiplied by how many readings you take) ÷ (amount recorded)] × 100
How is enthalpy change calculated?
- Bond enthalpies of reactants - bond enthalpies of products
What is the formula to calculate heat energy, and what do each of the symbols stand for? Include units.
- q = mcΔT
- q: heat energy (J)
- m: the mass that changes temperature (g)
- c: the specific heat capacity of the substance that changes temperature
- ΔT: change in temperature measured
How is rate of reaction calculated? What is its units?
- Change in concentration/ change in time
- Its units are therefore mol dm^-3 s^-1
What is the rate equation?
- rate = k [A]^m [B]^n
- k= rate constant
- A and B: reactants
- m: order of reaction with respect to A
- n: order of reaction with respect to B
How can the rate constant for a first order reaction be calculated from a concentration-time graph?
- ln(2) / t1/2
- Use a concentration-time graph to find the rate of reaction
- Divide the rate by the concentration at that time
What is the Arrenhius equation? Include units.
- k= A e^ (-Ea / RT)
- k: rate constant
- A: pre-exponential/ frequency factor
- Ea: activation energy (J mol^-1)
- R: gas constant
- T: temperature in Kelvin
How can A and Ea be calculated if you have a table of k and T values?
- ln(k) = -Ea / R x 1/T + ln(A)
- y = mx +c
- Plot a graph of ln(k) against the reciprocal of time
- The gradient is -Ea/ R (remember to divide by 1000 at the end)
- The y-intercept is ln(A)
How is the partial pressure of a gas calculated?
- You multiply the mole fraction of the gas by the total pressure
What are the 2 ways of finding the mole fraction of a gas? Explain.
- The number of moles of the gas can be divided by the total number of moles in the gas mixture
- Similarly, since under the same conditions the same number of moles of gases take up the same volume, the mole fraction can also be calculated by dividing the volume of the gas by the total volume of the gas mixture
How do you calculate the concentration of hydrogen ions from pH values? How is this rearranged to calculate pH from the concentration of hydrogen ions?
- [H+] = 10^-pH
- pH = - log [H+]