Grade 12 Chemistry · The three gas laws
One knob at a time
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One knob at a time

A fixed amount of gas has three knobs: pressure PP, how hard it drums on its walls; volume VV, the space it is allowed to fill; and temperature TT, the average kinetic energy of its molecules. The three classical laws each pin one knob and watch the other two. Everywhere in this chapter, subscript 1 is the state BEFORE and subscript 2 is the state AFTERP1P_1 is the pressure you started with, P2P_2 the pressure you ended with, and so on for every letter.

P1V1=P2V2P_1 V_1 = P_2 V_2 is Boyle's law — read aloud P-one V-one equals P-two V-two — at constant temperature. V1T1=V2T2\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2} is Charles's law, V-one over T-one equals V-two over T-two, at constant pressure. P1T1=P2T2\dfrac{P_1}{T_1} = \dfrac{P_2}{T_2} is Gay-Lussac's law, at constant volume. Whichever of the four letters the question leaves blank is the one you solve for.

One rule outranks all three, and it is where most marks are lost: every TT here is an absolute temperature, in kelvin. T(K)=t(C)+273T(\mathrm{K}) = t(^\circ\mathrm{C}) + 273 — 273.15 if the paper wants it, 273 on this one. Ratios need a scale that starts at true zero, and Celsius does not: 20 °C is emphatically not twice as hot as 10 °C, but 293 K really is 293 times as hot as 1 K. Convert first, always.