The ideal gas law (PV = nRT) describes the relationship among pressure P, volume
ID: 978966 • Letter: T
Question
The ideal gas law (PV = nRT) describes the relationship among pressure P, volume V, temperature T, and molar amount n. When n and V are fixed, the equation can be rearranged to take the following form where k is a constant: P/T = nR/V = k or (P/T)_initial = (P/T)_final When n and P are fixed, the expression becomes V/T = nR/P = k or (V/T)_initial = (V/T)_final The pressure inside a hydrogen-filled container was 2.10 atm at 21 degree C. What would the pressure be if the container was heated to 90 degree C Express your answer with the appropriate units. At standard temperature and pressure (0 degree C and 1.00 atm ), 1.00 mol of an ideal gas occupies a volume of 22.4 L. What volume would the same amount of gas occupy at the same pressure and 70 degree C Express your answer with the appropriate units.Explanation / Answer
T1 = 21C = 21+273 = 294 K , T2 = 90C = 90+273 = 363 K
we have formula PV = nRT , at constant volume and no change in gas we have By charles law
P2/P1 = T2/T1
P2 / 2.1 = ( 363/294)
P2 = 2.59 atm
B) T1 = 0C = 273K , T2 = 70C = 70+273 = 343 K
By charles law V2/V1 = T2/T1
V2 /22.4 = ( 343/273)
V2 = 28.14 L
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