Answer:
Explanation:
We shall use gas law equation and modify it to include number density of particle as follows
PV = n RT , n is no of moles
P = (n / V) RT
At earth , P = a atm , n = 6.02 x 10²⁶/22.4 , V = 1 m³ , R is constant , T = 273
(1 mole of a gas occupies 22.4 litre volume and contains 6.02 x 10²³ no of gas molecules . 1 liter = 10⁻³ m³ . )
1 = 6.02 x 10²⁶ x R x 273 / 22.4
At Venus P = 91 atom , n = 1.05 x 10²⁷ , V = 1 m³ , R is constant , T = ?
91 = 1.05 x 10²⁷ R x T
dividing the two equations
91 / 22.4 = 1.05 x 10²⁷ R x T / 6.02 x 10²⁶ x R x 273
91 x 6.02 x 273/ 22.4 = 1.05 x 10 T
T = 91 x 6.02 x 273 / (10.5 x 22.4 )
= 635.86 K
= 362.86 degree Celsius.
