First slide

Gaseous state

Question

A flask contains 12 g of a gas of relative molecular mass 120 at a pressure of 100 atm was evacuated by means of a pump until the pressure was 0.01 atm. Which of the following is the best estimate of the number of molecules Ieft in the flask? ( N_o = 6 x 10²³ mol^-1)

Moderate

A

$6 \times 10^{19}$
B

$6 \times 10^{18}$
C

$6 \times 10^{17}$
D

$6 \times 10^{13}$

Solution

$pV = nRT \Rightarrow p \propto n n_{2} = n_{1} \frac{p_{2}}{p_{1}} = 0 .1 \times \frac{0 .01}{100} mol = 10^{- 5} ∴ molecules = N_{0} \times 10^{- 5} = 6 .02 \times 10^{18}$

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