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test yourself 1 what is the volume of ( 1.204 \times 10^{23} ) molecule…

Question

test yourself
1 what is the volume of ( 1.204 \times 10^{23} ) molecules of neon gas at stp?
(a) 24 l
(b) 22.4 l
(c) 44.8 l
(d) 48 l
answer : the correct choice :

Explanation:

Step1: Find moles of neon

Avogadro's number is \( 6.022\times10^{23} \) molecules/mol. Moles (\( n \)) = \( \frac{\text{Number of molecules}}{\text{Avogadro's number}} \). So \( n=\frac{12.04\times10^{23}}{6.02\times10^{23}} = 2 \) mol.

Step2: Calculate volume at STP

At STP, 1 mol of gas occupies 22.4 L. Volume (\( V \)) = \( n\times22.4 \) L/mol. So \( V = 2\times22.4 = 44.8 \) L.

Answer:

c. 44.8L