4. A Noble Gas has a density of 2.3013 g/L at 1185.6 torr and 330.0 K. What is the elemental symbol for that gas?
5. A fixed sample of gas at 45.5 K is initially at 125 mL and 684 mm Hg. What would the final pressure be in mm Hg if the volume was expanded to a final volume of 188 mL? (The answer should have three sig figs.)
4)
Molarity of the gas (n/V ) is calculated from ideal gas equation
Ideal gas equation is
PV = nRT
rearranging equation
n/V = P/RT
where,
P = Pressure, 1185.6 torr = 1.56atm
R = gas constant , 0.082057(L atm /mol K)
T = Temperature, 330.0K
n/V = 1.56atm/(0.082057(L atm / mol K) × 330.0K )
n/V = 0.0576 mol/L
No of moles of gas in 1litee of gas = 0.0576mol
From densisity we know that mass of 1L of gas = 2.3013g
molar mass = mass/no of moles
molar mass of the gas = 2.3013g/0.0576mol = 39.953g/mol
Therefore,
the noble gas is Argon
Sympol of the element is Ar
5)
According to boyl's law at constant temperature and amount of gas , pressure of the gas is inversely proportional to the volume of the gas
P1V1 = P2V2
P2 = P1V1/V2
P2 = 125ml × 684K/188ml
P2 = 455 mmHg
Therefore,
The final pressure = 455 mmHg
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