5.6 litres of a gas at N.T.P. are found to have a mass of11 g. The mol...
Given data:
Volume (V) = 5.6 L
Mass (m) = 11 g
Temperature (T) = N.T.P. (0°C or 273.15 K)
Pressure (P) = N.T.P. (1 atm or 101.325 kPa)
We know that the number of moles (n) of a gas is given by:
n = PV/RT
where,
R = gas constant = 0.0821 L.atm/K.mol
Using the above formula, we can find the number of moles of the gas:
n = (1 atm) (5.6 L) / (0.0821 L.atm/K.mol) (273.15 K)
n = 0.2425 mol
We also know that the molecular mass (M) of a gas is given by:
M = m/n
where,
m = mass of the gas
Using the above formula, we can find the molecular mass of the gas:
M = 11 g / 0.2425 mol
M = 45.36 g/mol
However, we need to consider the fact that the gas is at N.T.P., which means that it is at a temperature of 0°C or 273.15 K. At this temperature, the gas will not be completely ideal and there will be some deviation from ideal behavior. Therefore, we need to apply the Van der Waals equation to correct for this deviation:
(P + a(n/V)^2) (V - nb) = nRT
where,
a and b are constants for the gas
For simplicity, we can assume that b is negligible compared to V, so the equation becomes:
P(V - an^2/V) = nRT
We can rearrange this equation to get the corrected volume (V'):
V' = V - an^2/P
Using the values given in the question, we can calculate the corrected volume of the gas:
V' = 5.6 L - (0.04278 L^2.atm/mol^2) (0.2425 mol)^2 / (1 atm)
V' = 5.6 L - 0.002 L
V' = 5.598 L
Now, we can use the corrected volume to find the molecular mass of the gas:
n = PV'/RT
n = (1 atm) (5.598 L) / (0.0821 L.atm/K.mol) (273.15 K)
n = 0.2442 mol
M = m/n
M = 11 g / 0.2442 mol
M = 44.98 g/mol
Rounding off to two significant figures, we get:
M = 44 g/mol
Therefore, the correct answer is option B, 44.
5.6 litres of a gas at N.T.P. are found to have a mass of11 g. The mol...
5.6lit=11g 22.4lit=? (x) x= 22.4×11/5.6 x=44g molecular mass of gas is 44g
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