Answer:
The correct answer is 8,026 x 10³ kPa
Explanation:
We have gaseous CO₂ at the following conditions:
mass = 94.60 g
T= 57.00ºC = 330 K
V= 0.7500 L
We can use the ideal gas equation to calculate the pressure (P):
P x V = n x R x T
⇒ P = (n x R x T)/V
We need n, which is the number of moles of the gas. In order to calculate this, we have to calculate first the molecular weight (MM) of CO₂ as follows:
MM(CO₂)= Molar mass C + (2 x Molar mass O) = 12 g/mol + (2 x 16 g/mol) = 44 g/mol
Now, we can calculate the number of moles (n) of CO₂ from the mass and the molecular weight as follows:
n = Mass/MM = 96.60 g/44 g/mol = 2.19 moles
Now we have all the data. So, we introduce the data in the previos equation and calculate the pressure P:
P = (n x R x T)/V = (2.19 mol x 0.082 L.atm/K.mol x 330 K)/0.7500 L = 79.0152 atm
Finally, we have to convert the pressure from atm to kPa. For this, we know that 1 atm = 1,01325 x 10⁵ Pa and 1 kPa= 1000 Pa.
79.0152 atm x 1,01325 x 10⁵ Pa/atm x 1 kPa/1000 Pa = 8,026 x 10³ kPa
Answer:
7859.98 KPa
Explanation:
Step 1:
Data obtained from the question. This includes the following:
Mass of CO2 = 94.60g
Temperature (T) = 57℃
Volume (V) = 0.75 L
Pressure (P) =?
Step 2:
Determination of the number of mole of CO2.
Mass of CO2 = 94.60g
Molar Mass of CO2 = 12 + (2x16) = 12 + 32 = 44g/mol
Number of mole of CO2 =?
Number of mole = Mass/Molar Mass
Number of mole of CO2 = 94.60/44
Number of mole of CO2 = 2.15 moles
Step 3:
Conversion of celsius temperature to Kelvin temperature.
Temperature (Kelvin) = temperature (celsius) + 273
Temperature = 57℃ + 273 = 330K
Step 4:
Determination of the pressure. This is illustrated below:
The pressure can be obtained by using the ideal gas equation as shown below:
PV = nRT
Temperature (T) = 330K
Volume (V) = 0.75 L
Number of mole (n) = 2.15 moles
Gas constant (R) = 0.082atm.L/Kmol
Pressure (P) =?
PV = nRT
0.75 x P = 2.15 x 0.082 x 330
Divide both side by 0.75
P = (2.15 x 0.082 x 330)/0.75
P = 77.572 atm
Step 5:
Conversion of the pressure in atm to KPa. This is illustrated below:
1 atm = 101.325 KPa
Therefore, 77.572 atm = 77.572x101.325 = 7859.98 KPa
