Answer:
51.6K
Explanation:
Given parameters:
number of moles = 0.6moles
Volume = 1.7L
Pressure = 154.2kPa
Unknown:
temperature = ?
Solution
The ideal gas law is best used to solve this kind of problem. The law combines Boyle's law, Charles's law and Avogadro's law.
PV = nRT
wherre P = pressure in atm
V = volume in dm³ or L
n = number of moles
R = gas constant
T = temperature in kelvin
Since T is the unknown, we make it the subject of the expression;
T = [tex]\frac{PV}{nR}[/tex]
1atm = 101325Pa
x atm = 154.2 x 10³Pa
x = [tex]\frac{154200}{101325}[/tex] = 1.52atm
T = [tex]\frac{1.52 x 1.7}{0.6 x 0.082}[/tex] = [tex]\frac{2.58}{0.05}[/tex] = 51.6K
