Question

Two moles of oxygen contained in the vessel A and two moles of hydrogen contained in
the vessel B. Both vessels have equal volume and they are at same temperature. Pressure
in which of these vessels is highest?
(A) The vessesl A
(B) The vesses B
(C) Equal pressure in each vessel
(D) More information is required to decide​

Answer 1

Answer:-

Both pressures are equal

Explanation:-

Given:-

n_A = n_B = 2

T_A = T_B

V_A = V_A

To Find:-

Ratio of pressures

Solution:-

Using, Ideal gas equation

PV = nRT

P_AV_A = n_ART_A \: -----(1)

P_BV_B = n_B R T_B \: -----(2)

(1)÷ (2)

\dfrac{P_AV_A}{P_BV_B} =\dfrac{ n_ART_A}{n_B R T_B}  

\dfrac{P_A \cancel{V_A}}{P_B\cancel{V_A}} =\dfrac{\cancel{ n_ART_A}}{\cancel{n_A R T_A}}  

\dfrac{P_A}{P_B} =\dfrac{ 1}{1}  

\therefore  P_A = P_B