Answer:
Step-by-step explanation:
Given parameters:
number of moles of gas = 5 moles
pressure on the gas = 5.4kpa
volume of gas = 120L
Unknown:
temperature of the gas = ?
Solution:
To solve this problem, we have to apply the ideal gas law.
The law is derived from the combination of the three gas laws: Boyle's law, Charles's law and Avogadro's law.
Combining the laws, we have;
PV = nRT
where P is the pressure in atm
V is the volume
n is the number of moles
R is the gas constant 0.082atm dm³ mol⁻¹ K⁻¹
T is the temperatue in kelvin
Now, we must convert the pressure from kpa to atm;
1 atm = 101.325kpa
5.4kpa;
= 0.053atm
Input the parameters;
0.053 x 120 = 5 x 0.082 x T
T = 15.5K