Question

6 kmol of co, and 5 kmol of n2 are filled in a rigid tank at 300 k and 15 mpa. Find the volume of the tank.

a.0.652 m3

b.1.830 m3

c.0.638 m3

d.0.648 m3

Answer 1

Answer : The correct option is, (b) $1.830m^3$

Explanation:

Using ideal gas equation:

$PV=nRT$

where,

P = pressure of gas = 15 mPa = 148.038 atm

conversion used : (1 mPa = 9.869 atm)

V = volume of gas = ?

T = temperature of gas = 300 K

R = gas constant = 0.0821 L.atm/mole.K

n = number of moles of $CO\text{ and }N_2$ = (6 + 5) k mole = 11 k mole = 11000 mole

Now put all the given values in the ideal gas equation, we get:

$(148.038atm)\times V=(11000mole)\times (0.0821L.atm/mole.K)\times (300K)$

$V=1830.138L=1.830m^3$

conversion used : $(1L=0.001m^3)$

Therefore, the volume of the tank is, $1.830m^3$

Answer 2

Answer:

1.830 m3 is the right answer