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What volume would be occupied by 16.0 g of CH4 at 00C and 760 mmHg?

1 Answer

1 vote

Answer:

22.4 L

Step-by-step explanation:

We'll begin by calculating the number of mole in 16.0 g of CH₄. This can be obtained as follow:

Molar mass of CH₄ = 12 + (4×1)

= 12 + 4

= 16 g/mol

Mass of CH₄ = 16 g

Mole of CH₄ =?

Mole = mass / molar mass

Mole of CH₄ = 16 / 16

Mole of CH₄ = 1 mole

Finally, we shall determine the volume of the gas. This can be obtained as follow:

Number of mole of CH₄ (n) = 1 mole

Pressure (P) = 760 mmHg = 1 atm

Temperature (T) = 0°C = 273 K

Gas constant (R) = 0.0821 atm.L/Kmol

Volume (V)?

PV = nRT

1 × V = 1 × 0.0821 × 273

V = 22.4 L

Therefore, the volume of the gas is 22.4 L

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