Question

8g of Oxygen occupies a volume of 4 liter under certain conditions. under the same condition one mole of a gas , having molecular weight 64 , occupies a volume of 1) 32 lit 2) 8 lit 3) 16 lit 4) 24 lit

Answer 1

Answer:

Answer is 24L.

Explanation:

Step 1: To calculate number of moles of O₂(8g)

Number of moles of O₂ = 8/28=0.29 moles

Step 2: To calculate litres occupied by 0.29 moles of O₂

We know,

0.29 moles occupy 4L of volume.

 1 mole of gas occupies 64/0.29 = 24 L.

Therefore, required answer is 24L of gas is occupied by one mole of gas.

Answer 2

$\bigstar$ Answer $\bigstar$

$\checkmark$ Given:

8 g of Oxygen occupies a volume of 4 L under certain conditions

$\checkmark$ To Find:

At same condition,

One mole of a gas having molecular weight 64 occupies a volume of

1. 32 Lit
2. 8 Lit
3. 16 Lit
4. 24 Lit

$\checkmark$ Solution:

Mole (n)

Mole is defined as the unit of measurement for the amount of substance

Mathematically,

$\red{\boxed{\sf Mole \ (n)=\dfrac{Given \ Weight}{Gram \ Molecular \ Weight }}}$

Given that,

8 g of Oxygen occupies a volume of 4 L under certain conditions

Therefore,

Given Weight = 8 g

Gram Molecular Weight (GMW)

GMW of Oxygen = 32 g

Hence,

Calculating the Number of Moles,

Substituting the above values,

We get,

$\blue{\implies \sf n=\dfrac{8}{32} \ moles}$

$\orange{\sf \implies n=0.25 \ moles}$

Therefore,

Mole (n) = 0.25 moles

Hence,

0.25 moles of Oxygen occupy 4 L

According to the Question,

We are asked to find the volume occupied by 1 mole of gas having molecular weight 64 under the same condition

We found out that,

0.25 moles occupies 4 Litres

Therefore,

1 mole occupies how many Litres ?

Mathematically,

$\green{\sf 0.25 \ moles \longrightarrow 4 \ Litres}$

$\red{\sf 1 \ mole \longrightarrow x \ Litres}$

Hence,

We need to find 'x'

Therefore,

$\blue{\sf \implies x=\dfrac{4 \times 1}{0.25} \ Litres}$

$\green{\sf \implies x=\dfrac{4}{0.25} \ Litres}$

$\pink{\sf \implies x=16 \ Litres}$

So,

$\bold{\red{\therefore \ \rm One \ Mole \ Occupies \ 16 \ Litres}}$

Hence,

One mole of a gas having molecular weight 64 occupies a volume of 16 Litres

Therefore,

$\checkmark$ Option (3) is correct