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There are 0.3 moles of xenon gas in a 0.5-liter container at 30 degrees C. What is the pressure exerted by the xenon gas

Respuesta :

SFM19613
PV = nRT
P = (nRT)/V
P = (0.3 mol × 0.08206 atm-l/(mol-K) × (273.15 + 30) K)/(0.5 l)
P = 14.9258934 atm

Answer : The pressure of the gas is, 14.925 atm

Solution :

using ideal gas equation,

[tex]PV=nRT[/tex]

where,

n = number of moles of gas  = 0.3 mole

P = pressure of the gas = ?

T = temperature of the gas = [tex]30^oC=273+30=303K[/tex]

R = gas constant = 0.0821 Latm/moleK

V = volume of the gas = 0.5 L

Now put all the given values in the above equation, we get the pressure of the gas.

[tex]P\times (0.5L)=(0.3mole)\times (0.0821L.atm/mole.K)\times (303K)[/tex]

[tex]P=14.925atm[/tex]

Therefore, the pressure of the gas is, 14.925 atm