Respuesta :

To calculate the partial pressure, we have to calulate the total pressure first.
Total pressure = (nRT/V)SO2 + (nRT/V)CO2
n is the number of moles
R is the general gas constant = 0.0821 L.atm/K.mole
T is the temperature in Kelvin
V is the total volume
n SO2 = mass/molar mass = 5/ 32 + 16*2 = 0.078125
n CO2 = mass/molar mass = 5/14+ 16*2 = 0.1
T = 50+273 = 323K
V = 750/1000 = 0.75 liters
Total Pressure = (0.078125*0.0821*323/0.75) + (0.1*0.0821*323/0.75) = 2.7623 + 3.535 = 6.298 atm
Partial pressure = x SO2 * Total Pressure = (no. of moles of SO2 / total no. of moles) * Total pressure = (0.078125/0.078125+0.1) * 6.298 = 2.762 atm.

SO2 (5.00 g) and CO2 (5.00 g) are placed in a 750.0 ml container at 50.0 °C. the partial pressure of SO2 in the container was 2.762 atm.

Further explanation

To calculate the partial pressure, we can calulate the total pressure

[tex]Total pressure =  \frac{nRT}{V} SO2  + \frac{nRT}{V} CO2[/tex]

Where:

  • n is the number of moles
  • R is the general gas constant [tex]= 0.0821 L.atm/K.mole[/tex]
  • T is the temperature in Kelvin
  • V is the total volume

The amount of SO2 is n SO2 = mass/molar mass = m/M = [tex]\frac{5 }{32} + 16*2 = 0.078125[/tex] mol

The amount of CO2 is n CO2 = mass/molar mass = m/M = [tex]\frac{5}{14} + 16*2 = 0.1[/tex] mol

Total amount of gas is n(total) = [tex]n1 + n2 = 0.078 + 0.113 = 0.191[/tex]  mol

T = 50+273 = 323 K

[tex]V = \frac{750}{1000} = 0.75 [/tex]liters

Total Pressure  [tex]p*V = n*R*T[/tex]

Total Pressure [tex]= (0.078125*0.0821*\frac{323}{0.75} ) + (0.1*0.0821*\frac{323}{0.75}) = 2.7623 + 3.535 = 6.298[/tex] atm

Partial pressure = x SO2 * Total Pressure = [tex](\frac{no. of moles of SO2 }{total no. of moles} ) * Total pressure = (\frac{0.078125}{0.078125} +0.1) * 6.298 = 2.762 [/tex]atm

Learn more

  1. Learn more about  the partial pressure https://brainly.com/question/10503509
  2. Learn more about  the container https://brainly.com/question/3238396
  3. Learn more about The mole fraction https://brainly.com/question/6617005

Answer details

Grade:  9

Subject:  chemistry

Chapter:  pressure

Keywords:   the container, the partial pressure, SO2, CO2,  The mole fraction