Respuesta :
Answer:
[tex]1.28K\text{ }[/tex]
Explanation:
Here, we want to get the temperature of the gas
We can use the ideal gas equation here
Mathematically, we have this as:
[tex]PV\text{ = nRT}[/tex]P is the pressure which is given as 34.56 kPa
V is the volume which is given as 440.99 mL
R is the molar gas constant which is 0.08205 L atm/mol k
n is the number of moles which is given as 1.43 mol
We need to convert the pressure to the correct unit (considering the molar gas consnat value in atm)
1 kPa = 0.00986923 atm
34.56 kPa will be = 34.56 * 0.00986923 = 0.341 atm
We need to convert the volume to Liters by dividing by 1000
We have that as 440.99/1000 = 0.44099 L
Finally,we rewrite the equation in terms of temperature and substitute the values as follows:
[tex]\begin{gathered} T\text{ = }\frac{PV}{nR} \\ \\ T\text{ = }\frac{0.341\times0.44099}{1.43\times0.08205}\text{ =1.28 K } \end{gathered}[/tex]