The pressure of the gas in the vessel will be 10.92 atm
<h3>Gas pressure, volume, number of moles, temperature and Ideal has equation </h3>
The Ideal gas equation gives the relationship between gas pressure, volume, number of moles and temperature.
The Ideal gas equation is given below:
where
- P is pressure
- V is volume
- n is number of moles
- R is molar gas constant
- T is temperature
From data provided
P = 13.15 atm; V = 10.0 L; T = 21°C = 294 K
R = 0.082?057 L.atm/K.mol
making n subject of formula to find initial number of moles of oxygen gas
n = PV/RT
n = 13.15 x 10/0.082?057 x 294
n = 5.45 moles oxygen at start
<h3>Combustion of of hexane</h3>
The equation for the combustion of hexane is given below:
2 C6H14+ 19 O2 --> 12 CO2 + 14 H2O
Number of moles of hexane in 9.45 g
Number of moles = mass/molar mass
molar mass of hexane = 86 g
Number of moles of Hexane = 9.45/86
Number of moles of hexane = 0.11 moles
<h3>Moles of oxygen left</h3>
2 moles of hexane reacts with 19 moles of oxygen
0.11 moles of hexane will react with 0.11 × 19/2 moles of oxygen
1.045 mole O2 will be used up
Moles of oxygen left = 5.45 - 1.045
Moles of oxygen left = 4.405 moles
<h3>Moles of CO2 produced </h3>
2 moles of hexane produces 12 molesof CO2
0.11 moles of hexane produces 0.11 × 12/2
0.11 moles of hexane produces 0.66 mole CO2
Total moles of gas = 4.406 + 0.66 = 5.065 mole of gas in a 10 L container at -10°C
<h3>Pressure of gas in vessel </h3>
From ideal gas equation;
P = nRT/V
P = 5.065 × 0.082× 263/10
P = 10.92 atm
Therefore, the pressure of the gas in the vessel will be 10.92 atm
Learn more about ideal gas equation and gas pressure at: brainly.com/question/12873752
