Question

question 1 (2 points)
answer the questions about the balanced reaction 3a + 2b → 1c + 100. cal
how many moles of a are required to make 1 mole of c? _1_
how many moles of a are required to make 2 moles of c? _2_
is the relationship between moles of a and c a direct proportion? _3_
a. 0 b. 1 c. 2 d. 3 e. 4 f. 5 g. 6 h. 7
i. yes j. no

Explanation:

Step1: Analyze the stoichiometry of the reaction

From the balanced reaction \(3A + 2B
ightarrow1C+100\ cal\), the mole ratio of \(A\) to \(C\) is \(3:1\).

Step2: Calculate moles of \(A\) for 1 mole of \(C\)

Using the mole ratio \(\frac{n(A)}{n(C)}=\frac{3}{1}\). When \(n(C) = 1\ mol\), \(n(A)=3\times n(C)\). So \(n(A)=3\times1\ mol = 3\ mol\).

Step3: Calculate moles of \(A\) for 2 moles of \(C\)

Using the same mole ratio \(\frac{n(A)}{n(C)}=\frac{3}{1}\). When \(n(C) = 2\ mol\), \(n(A)=3\times n(C)\). So \(n(A)=3\times2\ mol=6\ mol\).

Step4: Determine if it is a direct proportion

Since \(n(A)=3n(C)\) (of the form \(y = kx\) where \(y=n(A)\), \(x = n(C)\) and \(k = 3\)), the relationship between moles of \(A\) and \(C\) is a direct proportion.

Answer:

For the first blank: D. 3
For the second blank: G. 6
For the third blank: I. yes