First slide

Combined gas law and ideal gas equation

Question

In a 2.24 l closed vessel at 4 atm and 819° c, oxygen gas is present. Number of molecules of oxygen in the vessel is

Moderate

A

$6.023 \times 10^{21}$
B

$6.023 \times 10^{23}$
C

$6.023 \times 10^{24}$
D

$6.023 \times 10^{22}$

Solution

$\begin{array}{l} PV = nRT \\ n = \frac{PV}{RT} \\ n = \frac{4 (2 .24)}{(0 .0821) (1092)} \\ n = \frac{2 (2 .24)}{2 (22 .4)} \\ n = 0 .1 \\ Number of molecules of oxygen = 0 .1 \times 6 .0233 \times 10^{23} = 6 .023 \times 10^{22} \end{array}$

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