Question

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Answer 1

$\bigstar$ To Find:

The density of Methane at 27°C and 2 atm

$\bigstar$ Solution:-

We know that

$\red{\rm \longrightarrow d=\dfrac{PM}{RT}}$

Here;

d = density

P = pressure

M = mass

R= gas constant

T = temperature

According to the question

We are asked to find the density of methane at 27°C and 2 atm

Therefore:

We must find "d"

Given that

Methane at 27°C and 2 atm

Hence;

T = 27°C = 300 K

P = 2 atm

We know that;

Mass of methane (CH₄)

[Mass of Carbon= 12 g/mol]

[Mass of Hydrogen= 1 g/mol]

Hence;

M = 12 + (4 x 1) = 16 g/mol

Therefore;

M = 16 g/mol

We also know that

R = 0.082 L atm/K mol

Substituting the values

We get:-

$\blue{\rm \longrightarrow d=\dfrac{2 \times 16}{0.082 \times 300} \ g/L}$

On further simplification

We get;

$\orange{\rm \longrightarrow d \approx 1.299 \ g/L}$

Hence:-

$\pink{\rm \longrightarrow d = 1.30 \ g/L}$

Therefore:-

Density of Methane at 27°C and 2 atm = 1.30 g/L