the universe gas law state that the volume (VM³) of a given mass of an ideal gas varies directly with it absolute temperature (TK) an inversely with it pressure (pM/ m²). A certain mass of gas at an absolute temperature 275K and pressure 10 N/ m² has volume 0.0224m³. find the formula that connect p, V, and T
Answers
Step-by-step explanation:
Relationship between Pressure- Volume (Boyle's Law)
•The volume of a fixed mass of gas at constant temperature is inversely proportional to the pressure exerted on it.
•P ∞ 1 / V then PV equals a constant value.
•Boyle’s Law:
P1V1 = P2V2 at constant temperature.
Relationship between Temperature- Volume (Charles' Law)
•The volume of a fixed mass of gas at constant pressure is directly proportional to its absolute temperature (kelvin scale).
•V ∞ T then V / T equals a constant value.
•Charles’ Law:
V1 = V2 at constant pressure
T1 T2
Relationship between Volume-Mole (Avogadro's Law)
Avogadro postulated that equal volumes of gases at the same temperature and pressure contain equal numbers of particles.
V ∞ n or V= kn where k is a constant.
Molar gas Volume
•Molar Gas Volume is the volume of 1 mole of a particular gas.
•It has been found experimentally that 1 mole of any gas at STP occupies a volume of 22.7 L.
•The molar volume of a gas at SLC is 24.8 L.
•Gas constants:
VSTP = 22.7 L
VSLC = 24.8 L
STP- 0 oC and 100kPa
SLC – 25 oC and 100KPa
There is a direct relationship between the number of moles of a gas and its molar volume.
n = V
Vm
Where:
n is the number of moles of gas
V is the actual volume of gas
Vm is the molar volume of the gas
•Combine Boyle’s and Charles’ Laws:
PV equals a constant value
V / T equals a constant value
to get PV / T equals a constant value.
•Combined Gas Law:
P1V1 = P2V2 for a constant amount of gas.
T1 T2
•P ∞ 1 / V (Boyle’s Law)
•P ∞ T (Gay Lussac’s Law)
•P ∞ n
•Combine these proportionalities:
P ∞ nT / V
Universal gas equation
•Replace proportionality with equality sign.
•Introduce a general gas constant, R and we get the general gas equation.
PV = nRT
where:
Pressure (P) is measured in kilopascals (kPa)
Volume (V) is measured in litres (L)
Temperature (T) is measured in kelvin (K)
Number of moles (n) – unit (mol)
General Gas Constant (R) = 8.31JK-1mol