What will be the pressure exerted by a mixture of 3.2 g of methane?
Answers
Explanation:
Given, Mass of carbon dioxide = 4.4 g Molar mass of carbon dioxide= 44g/mol Mass of methane = 3.2g Molar mass of methane = 16g/mol Now amount of methane, nCH4 = 3.2/ 16 = 0.2 mol & amount of CO2 nCO2 = 4.4/ 44 = 0.1 mol Also we know , Pv = (nCH4 + nCO2) RT OR P X 9 = (0.2 +0.1) x 0.0821 x 300 Or p = 0.3 x 0.0821 x 300 / 9 = 0.82 atm Hence, the total pressure exerted by the mixture is 0.82 atm.
Answer:
ok
Explanation:
calculate the total pressure exerted by the gaseous molecules, you can go by the partial pressure method or by just simply the total pressure method as suggested in the other answer by Aditya Chandramouli.
To go by the partial pressure method it means to calculate the partial pressure of individual molecules and then add the partial pressures to give the total pressure
Using ideal gas law, P = nRT/V
Molecular weight of CO2 = 44.1 g/mol
Molecular weight of SO2 = 64.1 g/mol
Which means that 44.1 g of CO2 in 1 mol and 64.1 g in 1 mol
1 g of CO2 contains 0.0227 moles of CO2
Similarly, 1 g of SO2 contains 0.0156 moles of SO2
Converting to the given weights in question,
7.5 g of CO2 contains 0.17025 moles of CO2
10 g of SO2 contains 0.156 moles of SO2
UpTo the above step it's the same for both methods
After this you can directly calculate the total pressure by adding the moles and substituting in Gas law
Using partial pressure method,
Calculate individual partial pressures using the ideal gas law:
Temperature (T) = 273 + 25 C = 298 K
Volume = 2.5 L
R = 8.206 x 10^-2 L atm /(K . mol)
Use the gas constant values respective to the given data and the required answer in question
I have used the one containing L , atm, K(temp), mol as they will cancel and will give the value in terms of atm
Substitute respective no. of moles for n
Only no. Of moles change
So RT/V = 8.206 x 10^-2 x 298 / 2.5
= 9.7816 atm/mol
P(CO2) = 0.2678 * 9.7816 = 2.620 atm
P(SO2) = 0.156 * 9.7816 = 1.526 atm
Total Pressure = Partial Pressure of CO2 + Partial Pressure of SO2
= 4.146 atm
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