What is the volume of 0.1 mole of methane (CH4) ? (One mole of any gas occupies 22.4 L under certain conditions of temperature and pressure. Assume those conditions for this question.)

2.2 L

20 L

22.4 L

44.8 L

Option A = 2.2 L

Explanation:

Given dа ta:

volume of one mole of gas = 22.4 L

Volume of 0.1 mole of gas at same condition = ?

Solution:

It is known that one mole of gas at STP occupy 22.4 L volume. The standard temperature is 273.15 K and standard pressure is 1 atm.

For 0.1 mole of methane.

0.1/1 * 22.4 = 2.24 L

0.1 mole of methane occupy 2.24 L volume.

2,2 L

Explanation:

Under normal conditions of temperature and pressure: 273 K and 1 atm. The formula is used:

PV = nRT

R = Regnault constant

1 atm x V = 0,1mol x 0,082 l atm/K mol x 273 K

V = (0,1mol x 0,082 l atm/K mol x 273 K) / 1 atm

V = 2,2368 l