Question

the density of a gas is 0.0002 g/ml at 200 mm pressure . what would be it's density at 300 mm pressure at constant temprature. ​

Answer 1

Answer:

Solution:-

From ideal gas equation-

PV=nRT

whereas,

P= pressure of the gas

V= volume it occupies

n= number of moles of gas present in the sample =

molar mass of gas (M)

mass of gas (m)

R= universal gas constant =0.0821atmLmol

−1

K

−1

T= absolute temperature of the gas

∴PV=

M

m

RT

⇒PM=

V

m

RT

As we know that,

V

m

=ρ(density)

∴PM=ρRT

For constant temperatur,

Density of a gas is directly proportional to the pressure, i.e.,

ρ∝P

∴

ρ

′

ρ

=

P

′

P

⇒ρ

′

=

P

ρ×P

′

Given that:-

P=760mm

ρ=32gL

−1

P

′

=570mm

ρ

′

=?

∴ρ

′

=

760

32×570

=24gL

−1

Hence, density at 570mm pressure will be 24gL

−1

.

Answer 2

Answer:

density at 300 mm pressure is 0.0003 g/ml