A container consists mixture of four gases as 5 ~g~ H ₂, 8 ~g~ He , 50 ~g~ CO ₂ and 20 g Ne at a certain temperature. Which of the following gases exerts minimum partial pressure? ( array |c|c|c|c|c| X =x & 1 & 2 & 3 & 4 P ( X =x) & 0.1 & 0.2 & 0.3 & 0.4 array )

Step-by-step solution

Dalton's Law of Partial Pressures states that the partial pressure of each gas in a mixture is the product of its mole fraction and the total pressure: P_i = X_i P_ total . Since P_ total is constant, the partial pressure is proportional to the mole fraction, which depends on the number of moles: X_i = n_i n_ total . Therefore, the gas with the fewest moles exerts the minimum partial pressure. Moles are determined from mass and molar mass using n = mass molar mass . The molar masses are: 2 g/mol for H ₂ , 4 g/mol f