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Chapter 13: Problem 35

The principal component of natural gas is methane \(\left(\mathrm{CH}_{4}\right) .\) How many moles of \(\mathrm{CH}_{4}\) are present in \(144.36 \mathrm{g}\) of methane?

Short Answer

Expert verified
Answer: Approximately 8.99 moles of methane (CH4) are present in 144.36 g of methane.

Step by step solution

01

Determine the molar mass of methane (CH4)

Find the molar mass of methane by adding the molar masses of each element in the molecule. The molar mass of carbon (C) is 12.01 g/mol, and the molar mass of hydrogen (H) is 1.01 g/mol. Since there is 1 carbon atom and 4 hydrogen atoms in methane, the molar mass of methane (CH4) is: Molar mass of CH4 = (1 x 12.01) + (4 x 1.01) = 12.01 + 4.04 = 16.05 g/mol.
02

Calculate the number of moles of methane

Now that we have the molar mass of methane, we can calculate the number of moles present in 144.36 g of methane using the formula: Number of moles = mass of the substance (g) / molar mass of the substance (g/mol) Number of moles of CH4 = (144.36 g) / (16.05 g/mol) = 8.99 moles So, there are approximately 8.99 moles of methane (CH4) in 144.36 g of methane.

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Most popular questions from this chapter

Agnes Pockels \((1862-1935)\) was able to determine Avogadro's number using only a few household chemicals, in particular oleic acid, whose formula is \(\mathrm{C}_{18} \mathrm{H}_{34} \mathrm{O}_{2}\) (a) What is the molar mass of this acid? (b) The mass of one drop of oleic acid is \(2.3 \times 10^{-5} \mathrm{g}\) and the volume is $2.6 \times 10^{-5} \mathrm{cm}^{3} .$ How many moles of oleic acid are there in one drop? (c) Now all Pockels needed was to find the number of molecules of oleic acid. Luckily, when oleic acid is spread out on water, it lines up in a layer one molecule thick. If the base of the molecule of oleic acid is a square of side \(d\), the height of the molecule is known to be \(7 d .\) Pockels spread out one drop of oleic acid on some water, and measured the area to be \(70.0 \mathrm{cm}^{2}\) Using the volume and the area of oleic acid, what is \(d ?\) (d) If we assume that this film is one molecule thick, how many molecules of oleic acid are there in the drop? (e) What value does this give you for Avogadro's number?
A flat square of side \(s_{0}\) at temperature \(T_{0}\) expands by \(\Delta s\) in both length and width when the temperature increases by \(\Delta T\). The original area is \(s_{0}^{2}=A_{0}\) and the final area is $\left(s_{0}+\Delta s\right)^{2}=A .\( Show that if \)\Delta s \ll s_{0}$$$\frac{\Delta A}{A_{0}}=2 \alpha \Delta T$$(Although we derive this relation for a square plate, it applies to a flat area of any shape.)
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