Question

Calculate the value of R in S.I. units for one mole gas at STP.​

Answer 1

R value at STP is

8.314 j mol-1 k-1

0.0825 lit atm mol-1 k-1

1.987/2 cal mol-1 k-1

Answer 2

Answer:

8.314 J mol⁻¹ K⁻¹

Explanation:

From ideal gas equation we know :

P V = n R T

For n = 1

R = P V / T

Vale of P , V and T in SI and STP

P = 1 atm = 101.325 × 10³ N / m²

V = 22.4 L = 22.4 × 10⁻³ m³

T = 273 K

Putting values in equation we get :

R = ( 101.325 × 10³ ) × ( 22.4 × 10⁻³ ) / 273  J mol⁻¹ K⁻¹

R = ( 101.325 ) × ( 22.4 ) / 273  J mol⁻¹ K⁻¹

R = 8.314 J mol⁻¹ K⁻¹

Hence we get required answer.