How many molecules are in 25 g of HCI? Thank you :)

Mathematics

2 answers:

Fittoniya [83]3 years ago

4 0

Answer:

4.13E23 molecules

Step-by-step explanation:

Molar mass HCl = 36.4611 g/mol

25.0g = 25/36.4611 = 0.686 mol HCl

1 mol HCl = 6.022*10^23 molecules

0.686 mol = 0.686*6.022*10^23 = 4.13*10^23 molecules.

Karo-lina-s [1.5K]3 years ago

3 0

Answer:

<h3>4.123 × 10²³ molecules</h3>

Step-by-step explanation:

To calculate the number of molecules first find the number of moles then multiply it by 6.02×10^23

number of moles(n) = mass / molar mass (M)

M of HCl = 1 + 35. 5 = 36.5g/mol

n = 25/36.5 = 0.6849mol

next we use the formula

N = n × L

N = number of entities

n = number of moles

L = Avogadro's constant 6.02 × 10^23 entities

Number of HCl molecules is

0.6849 × 6.02 × 10^23

$4.123 \times {10}^{23} molecules$

Hope this helps you

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A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$