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Boss lesson · The Gas Works
Exam-hall rules, last batch
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Exam-hall rules, last batch

This is the boss. No calculator — every draw is pinned to mental arithmetic, and the standard state does the heavy lifting: at STP one mole fills 22.4 L, and the compressor's pressures and temperatures are whole multiples of 101 kPa and 273 K, so the combined gas law becomes a pair of small fractions you can hold in your head.

One batch of gas, one long problem, and every answer feeds the next: the volume at STP, then the delivered volume after compression, then the batch's share of the header, then the pressure that share exerts, then the mass on the weighbridge. Write each line down as you go — one early slip rides all the way to the weighbridge, and the finish will trace it back for you.

Everything from the chapter is in here somewhere. 5★ under par is the chapter crown. Clock in.

P1V1T1P2T2V2

P1V1T1=P2V2T2\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}

  • P1P_1= Initial pressure (pressure)
  • V1V_1= Initial volume (volume)
  • T1T_1= Initial absolute temperature (temperature)
  • P2P_2= Final pressure (pressure)
  • V2V_2= Final volume (volume)
  • T2T_2= Final absolute temperature (temperature)
Combined Gas Law solver →
PVTn

PV=nRTP V = n R T

  • PP= Pressure (pressure)
  • VV= Volume (volume)
  • nn= Amount (amount of substance)
  • TT= Temperature (temperature)
Ideal Gas Law solver →
PtotalxiPi

Pi=xi PtotalP_i = x_i \, P_{\text{total}}

  • PiP_i= Partial pressure of component i (pressure)
  • xix_i= Mole fraction of component i
  • PtotalP_{\text{total}}= Total pressure (pressure)
Partial Pressure from Mole Fraction solver →
PρMT

ρ=PMRT\rho = \frac{PM}{RT}

  • ρ\rho= Gas density (density)
  • PP= Pressure (pressure)
  • MM= Molar mass (molar mass)
  • TT= Absolute temperature (temperature)
Gas Density from Molar Mass solver →
no calculator in the boss room — the numbers are chosen to fit in your head