Question

Which mass of gas would occupy a volume of 3dm3 at 25°C and 1 atmosphere pressure?

[1 mol of gas occuples 24 dm at 25°C ana
A 3.29 O2 gas
B 5.6g N, gas
C 8.09 SO, gas
D 11.09 CO2 gas

Answer 1

C 8.09 SO2 gas

Step-by-step explanation:

As we have the volume (3dm³ = 3L), temperature (25°C + 273 = 298K), and pressure (1atm), we can solve to moles of gas using:

PV = nRT

PV / RT = n

1atm*3L / 0.082atmL/molK*298K =¨

0.123 moles of gas you have.

Now, to convert these moles to mass we use molar mass (32g/mol for O2, 28g/mol for N2, 64g/mol for SO2, and 44g/mol for CO2).

Mass of 0.123 moles of these gases is:

O2 = 0.123 moles * 32g/mol = 3.94g of O2. A is wrong

N2 = 0.123 moles * 28g/mol = 3.4g of N2. B is wrong

SO2 = 0.123 moles * 64.1g/mol = 7.9g of SO2≈ 8.09g of SO2, C is possible

CO2 = 0.123 moles * 44g/mol = 5.4g of CO2. D is wrong

Right answer is:

C 8.09 SO2 gas