Try the fastest way to create flashcards
Question

# Dinitrogen pentoxide decomposes into nitrogen dioxide and oxygen. If 5.00 L of$\mathrm { N } _ { 2 } \mathrm { O } _ { 5 }$reacts at STP, what volume of$\mathrm { NO } _ { 2 }$is produced when measured at$64.5 ^ { \circ } C$and 1.76 atm?

Solution

Verified
Step 1
1 of 2

The coefficients in a chemical reaction involving gases indicate the relative numbers of molecules, the relative numbers of moles, and the relative volumes. All volumes are to be compared at the same temperature and pressure. Therefore, volume ratios can be used like mole ratios to find the unknowns.

$\mathrm{N_2O_5 \rightarrow NO_2 + \dfrac{1}{2} \text{ }O_2}$

$V_{NO_2} = \mathrm{ 5 \text{ }L \text{ }N_2O_5 \text{ x } (\dfrac{2 \text{ }NO_2 }{ N_2O_5 })}$

$\bold{V_{NO_2} = 10 \text{ }L \text{ }NO_2}$

The combined gas law expresses the relationship between pressure, volume, and temperature of a fixed amount of gas.

$\dfrac{PV}{T}=k$

In the equation, k is constant and depends on the amount of gas. The combined gas law can also be written as follows:

$\dfrac{ P_1V_1}{T_1}= \dfrac{ P_2V_2}{T_2}$

For purposes of comparison, scientists have agreed on standard conditions of 1 atm pressure and $0^oC$.

$V_2= \dfrac{P_1V_1T_2}{P_2T_1}$

$V_2= \mathrm{\dfrac{(1 \text{ }atm) \text{ x } (10 \text{ }L) \text{ x } (64.5+273.15) \text{ }K}{(1.76 \text{ }atm) \text{ x } (0+273.15) \text{ }K}}$\

$\bold{V_2= 7.0131 \text{ } L \text{ } NO_2}$

## Recommended textbook solutions #### Chemistry: The Molecular Nature of Matter and Change

7th EditionISBN: 9780073511177 (2 more)Patricia Amateis, Silberberg
6,032 solutions #### Chemistry: The Central Science

14th EditionISBN: 9780134414232 (9 more)Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown
7,736 solutions #### Atkins' Physical Chemistry

11th EditionISBN: 9780198769866James Keeler, Julio de Paula, Peter Atkins
1,692 solutions #### Modern Chemistry

1st EditionISBN: 9780547586632 (2 more)Jerry L. Sarquis, Mickey Sarquis
2,184 solutions