Question

When Pressure is expressed in atmospheres and volume in litres. One mole of gas under S.T.P. Conditions (at 273 K and 1 atmosphere pressure) occupies 22.4L, then value of R is

1) 1.0821 L atm k -1 mol-1
(2) 0.0821 L atm k -1 mol -1
(3) 2.0821 L atm k -1 mol-1
(4) None of these ​

Answer 1

0.0821 L atm-1 mil -1

hope it will help you

Answer 2

Given:

Pressure, P = 1 atm

Volume, V = 22.4 litre

No. of moles, n = 1 mole

Temperature, T = 273 K

To Find:

Universal Gas Constant, i.e., R

Calculation:

- Putting all these values in Ideal Gas Equation, we get:

PV = nRT

⇒ 1 × 22.4 = 1 × R × 273

⇒ R = 22.4/273

⇒ R = 0.0821 L atm K⁻¹ mol⁻¹

- So the correct answer is option (2)