Question

calculate the number of grams in each of the following:
0.739 moles of ti.

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1.01×10²⁴ atoms of s.

Explanation:

Step1: Find molar mass of Ti

The molar mass of Ti (titanium) is \(M = 47.87\space g/mol\).

Step2: Calculate mass of Ti

Use the formula \(m=n\times M\), where \(n = 0.739\space mol\) and \(M = 47.87\space g/mol\).

$$m=0.739\times47.87$$

$$m = 35.4\space g$$

Step3: Find moles of S

Use Avogadro's number \(N_A=6.022\times 10^{23}\space atoms/mol\). The number of moles of \(S\), \(n=\frac{N}{N_A}\), where \(N = 1.01\times 10^{24}\space atoms\)

$$n=\frac{1.01\times 10^{24}}{6.022\times 10^{23}}=1.68\space mol$$

Step4: Find molar mass of S

The molar mass of \(S\) is \(M = 32.07\space g/mol\)

Step5: Calculate mass of S

Use the formula \(m=n\times M\), where \(n = 1.68\space mol\) and \(M = 32.07\space g/mol\)

$$m=1.68\times32.07$$

$$m = 53.9\space g$$

Answer:

For \(0.739\space moles\) of \(Ti\): \(35.4\space g\)
For \(1.01\times 10^{24}\space atoms\) of \(S\): \(53.9\space g\)