Question

In the space station, a 2 mole sample of neon is kept at 1.In the space station, a 2 mole sample of neon is kept at 1.0atm and 50k. What is the true volume of the gas? The molar volume correction factor "b" for neon is 0.01709 L/mol and R = 0.08206 L atm/mole K. Express volume in liters.

Answer 1

Answer : The volume of the gas is, 8.24018 L

Solution : Given,

Moles of gas = 2 moles

Pressure of gas = 1 atm

Temperature of gas = 50 K

Molar volume correction factor, b = 0.01709 L/mole

Gas constant, R = 0.08206 L atm/mole K

Formula used for real gas :

$(P+\frac{an^2}{V^2})(V-nb)=nRT$

where,

P = pressure of gas

V = volume of gas

T = temperature of gas

R= gas constant

n = number of moles of gas

b = molar volume correction factor

a = pressure correction factor

The value of 'a' is zero

Now put all the given values in this formula, we get the volume of gas.

$(P)(V-nb)=nRT$

$V=\frac{nRT}{P}+nb$

$V=\frac{2\times 0.08206Latm/moleK\times 50K}{1atm}+(2\times 0.01709L/mole)=8.24018L$

Therefore, the volume of the gas is, 8.24018 L