First slide

laws

Question

At constant temperature, a 1 L vessel is filled with 125 ml of a gas at 0.6 atm and 150 ml of another gas at 0.8 atm. Now, if the temperature remains constant, find the total pressure of the mixture at equilibrium:

Moderate

A

0.140 atmosphere
B

0.120 atmosphere
C

0.195 atmosphere
D

0.212 atmosphere

Solution

From the ideal gas equation we know that
$P V = n R T$
where n = number of moles
R = gas constant
From the above equation we can say that
$n = \frac{P V}{R T}$
So for the mixture we can write
$\Rightarrow n = n_{1} + n_{2}$
$\Rightarrow \frac{P V}{R T} = \frac{P_{1} V_{1}}{R T} + \frac{P_{2} V_{2}}{R T}$
Substituting the given values of variables in the equation.
$P \times 1 = 0.60 \times 0.125 + 0.80$
$\times 0.150$
$P = 0.0750 + 0.120$
$P = 0.195 atm$

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