Respuesta :
Answer:
T= 257.36 k
Explanation:
using the ideal gas law
pv=nRt
first, convert pressure from mmhg to kpa
312 x (101.3\760)= 41.58 kpa
R is constant= 8.31
to get n(number of moles)
n=m\M (m is mass, M is molar mass)
molar mass of argon is 39.948
n= 2.33\39.948
n=0.0583
substitute;
41.58 x 3 = 0.0583 x 8.31 x T
T= (41.58 x 3)\ (0.0583 x 8.31)
T= 257.36 k
The temperature of the gas under ideal conditions is 257.36K
In order to get the temperature of the gas, we will use the ideal gas equation expressed according to the formula:
[tex]PV = nRT[/tex]
P is the pressure of the gas = 312mmHg = 41.58KPa
V is the volume of the gas = 3.00L
n is the moles of the gas = 0.1165moles
R is boltzmann constant = 8.31
T is the required temperature
Mole = mass/molar mass
Mole = 2.33/40
Mole of argon = 0.05825moles
Substitute the given parameters into the formula
[tex]T=\frac{PV}{nR}\\ T=\frac{41.58 \times 3}{0.05825\times8.31}\\T=257.36K[/tex]
Hence the temperature of the gas under ideal conditions is 257.36K
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