Question

calculate the mass in grams of each of the following and provide the answer in scientific notati
calculate the mass in grams of 2 atoms of xe
g
etextbook and media
calculate the mass in grams of 2 molecules of ch3cooh
g

Explanation:

Step1: Calculate the mass of 2 atoms of Xe

• The molar mass of Xe is \(M = 131.293\space g/mol\).
• According to the formula \(n=\frac{N}{N_{A}}\) (where \(n\) is the amount of substance, \(N\) is the number of particles, and \(N_{A}=6.022\times 10^{23}\space mol^{-1}\)), for \(N = 2\) atoms of Xe, \(n=\frac{2}{6.022\times 10^{23}}\space mol\).
• Then, using the formula \(m=n\times M\), \(m=\frac{2\times131.293}{6.022\times 10^{23}}\space g\).
• \(m=\frac{262.586}{6.022\times 10^{23}}\space g\approx4.36\times 10^{-22}\space g\).

Step2: Calculate the mass of 2 molecules of \(CH_{3}COOH\)

• First, calculate the molar mass of \(CH_{3}COOH\).
• The molar mass of \(C\) is \(12.01\space g/mol\), \(H\) is \(1.008\space g/mol\), and \(O\) is \(16.00\space g/mol\).
• For \(CH_{3}COOH\) (\(C_{2}H_{4}O_{2}\)), \(M=(2\times12.01 + 4\times1.008+2\times16.00)\space g/mol=(24.02 + 4.032 + 32.00)\space g/mol = 60.052\space g/mol\).
• Using \(n=\frac{N}{N_{A}}\) with \(N = 2\) molecules, \(n=\frac{2}{6.022\times 10^{23}}\space mol\).
• Then, using \(m=n\times M\), \(m=\frac{2\times60.052}{6.022\times 10^{23}}\space g\).
• \(m=\frac{120.104}{6.022\times 10^{23}}\space g\approx1.99\times 10^{-22}\space g\).

Answer:

• The mass of 2 atoms of Xe is \(4.36\times 10^{-22}\space g\).
• The mass of 2 molecules of \(CH_{3}COOH\) is \(1.99\times 10^{-22}\space g\).