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Gas Laws. Equilibrium state – pressure and temperature are the same throughout. variables:. temperature, pressure, volume, # moles. constant: n, T P vs. V. P α 1/V. PV = cnst. P 1 V 1 = P 2 V 2. constant: n, P V vs. T. V α T K. V/T = cnst. V 1 /T 1 = V 2 /T 2.
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Equilibrium state – pressure and temperature are the same throughout variables: temperature, pressure, volume, # moles
constant: n, T P vs. V P α 1/V PV = cnst P1V1 = P2V2
constant: n, P V vs. T V α TK V/T = cnst V1/T1 = V2/T2
constant: n, V P vs. T P α TK P/T = cnst P1/T1 = P2/T2
constant: P, T V vs. n V α n V/n = cnst constant: V, T P vs. n P α n P/n = cnst
combine variables: PV = cnst V/T = cnst P/T = cnst V/n = cnst P/n = cnst P1V1 P2V2 --------- = ------ n1T1 n2T2 PV ------ = cnst nT
PV ------ = cnst nT cnst = R (Universal Gas Constant) PV = nRT
PV = nRT units: P: N/m2 = Pa V: m3 n: moles R: 8.315 J/mol·K T: K