To solve this question, we need to use the following formula: PV = nRT
where:
P = pressure
V = voume
n = number of moler
R = gas constant
T = temperature
The question gives us the following values:
P = 4 atm
V = 10 dm³
n = we will find out
R = 0.082 atm.L/K.mol
T = 273 °C
- We need to transform all units to the same constant R has. So we need to transform dm³ into liters and 273 °C into kelvin.
1 dm³ --- 1 L
10 dm³ --- 10 L
TK = 273 + 273 = 546K
- Now, we replace the values in the formula:
4 x 10 = n x 0.082 x 546
n = 40/44.772
n = 0.89 moles
Answer: 0.89 moles of the gas