Consider the unbalanced equation for the combustion of hexane: $\mathrm{C}_{6} \mathrm{H}_{14}(g)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(g)$ Balance the equation and determine how many moles of $O_2$ are required to react completely with 7.2 moles of $C_6H_{14}$.

Complete and balance each of the following equations for combustion reactions. Express your answer as a chemical equation. Identify all of the phases in your answer.
a. C$_2$H$_6$(g)+O$_2$(g)→
b. Ca(s)+O$_2$→
c. C$_3$H$_8$O(l)+O$_2$(g)→
d. C$_4$H$_{10}$S(l)+O$_2$(g)→

Let $\mathbf{u}=(3,2,-1), \mathbf{v}=(0,2,-3)$, and $\mathbf{w}=(2,6,7)$. Compute the indicated vectors. (a) $(\mathbf{u} \times \mathbf{v}) \times(\mathbf{v} \times \mathbf{w})$ (b) $\mathbf{u} \times(\mathbf{v}-2 \mathbf{w})$ (c) $(\mathbf{u} \times \mathbf{v})-2 \mathbf{w}$.

Consider the following balanced reaction:

$$\ce{2C4H10 (g) + 13O2 (g) \longrightarrow 8CO2 (g) + 10H2O (g)}$$

a) If 7.0 moles of $\ce{C4H10}$ are completely reacted, how many moles of $\ce{CO2}$ are produced?

b) If 19.0 moles of $\ce{H2O}$ are formed, how many moles of $\ce{O2}$ required?

c) If 17.50 moles of $\ce{C4H10}$ are completely reacted, how many grams of $\ce{H2O}$ are produced?

d) If 23.0 moles of $\ce{O2}$ are completely reacted, how many grams of $\ce{C4H10}$ were required?

e) If 156.0 grams of $\ce{C4H10}$ are completely reacted, how many moles of $\ce{CO2}$ are produced?

f) If 80.0 grams of $\ce{C4H10}$ are allowed to react with 550.0 grams of $\ce{O2}$, how many grams of $\ce{CO2}$ are produced?

How many moles of NO are required to completely react with 2.45 mol NH$_3$?

How many moles of oxygen $\ce{(O2)}$ are required to completely react with $\ce{27.4 mol}$ of $\ce{H2}$

$$\ce{2H2 + O2 ->2H2O}$$

Two horizontal forces act on a 2.5 kg chopping block that can slide over a frictionless kitchen counter, which lies in an xy plane. One force is

$$\vec { F } _ { 1 } = ( 3.0 \mathrm { N } ) \hat { \mathrm { i } } + ( 4.0 \mathrm { N } ) \hat { \mathrm { j } }$$

. Find the acceleration of the chopping block in unit-vector notation when the other force is (a)

$$\vec { F } _ { 2 } = ( - 3.0 \mathrm { N } ) \hat { \mathrm { i } } + ( - 4.0 \mathrm { N } ) \hat { \mathrm { j } }$$

, (b)

$$\vec { F } _ { 2 } = ( - 3.0 \mathrm { N } ) \hat { \mathrm { i } } + ( 4.0 \mathrm { N } ) \hat { \mathrm { j } }$$

, and (c)

$$\vec { F } _ { 2 } = ( 3.0 \mathrm { N } ) \hat { \mathrm { i } } + ( - 4.0 \mathrm { N } ) \hat { \mathrm { j } }$$

.

Draw an area model to multiply $1.1 \times 2.4$.

What is the law of conservation of mass?

The following topics related to irrational numbers are appropriate for either individual or group research projects. A report should be given to the class on the researched topic. The Golden Rectangle in Art and Architecture

What were Stalin's motives in supporting Communist governments in Eastern Europe?

The balanced chemical equation for the combustion of propane is:

$\ce{C3H8(g) + 5O2(g) -> 3CO2(g) + 4H2O(g)}$

Which statement is correct about the complete combustion of 3.00 mol of propane, $\ce{C3H8}$?

(a) 12.00 mol $\ce{H2O}$ are produced.

(b) 3.00 mol $\ce{CO2}$ are produced.

(c) 3.00 g $\ce{CO2}$ are produced.

(d) 12.00 g $\ce{H2O}$ are produced.

Consider the following problem.

One number is 3 less than 6 times a second number. Their sum is 46. Find the numbers.

If x represents the second number, which equation is correct for solving this problem?

A. $46-(x+3)=6x$

B. $(3-6x)+x=46$

C. $46-(3-6x)=x$

D. $(6x-3)+x=46$

The balanced chemical equation for the combustion of propane is:

$$\ce{C3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(g)}$$

Which statement is correct about the complete combustion of 3.00 mole of propane, C3H8?

a) 12.00 mol H2O are produced.

b) 3.00 g CO2 are produced.

c) 3.00 mol CO2 are produced.

d) 12.00 g H2O are produced.