Question

i nneed this step by step as soon as posible pls

1. The rate of effusion describes how the umber of molecules N in an effuo chambes will decrease, i in the chamber is at a given pressure p If the gas in the chamber is not refilled, the pressure wil drop otie, and so will the rate of effhation Derive an expression for the pressure inside the chamber ss function of time, p/t) (b) Consider a 2 L balloon at 25 C illed with belium gas to a pressure of 3.00 bat. How much time will pas before the balloon starts to shrink, which is the moment the pressure inside the balloon will drop to 1.00 bar The gas will effuse out of a circular opening with a diameter of 5.0 micrometers. Express your answers with hours and days. 1:50 PM New Jersey Institute of Technology Yesterday 1:37 PM Sprint LTE Edit ⓞ LIVE 1 凹

Answer 1

PV = nRT

RT

PVNa RT

PVNa RT

-dP RT dN = dt VNadt

REPLACE dN/dt

-dP ART

dt P VN2TM
=

B) integrate the pressure equation from Po to P and 0 to t

P = Poet

let suppose pressure from Po = 3 bar will come to 2.99

then, put values in the equation and calculate t

(given dia of hole is 5.0 micrometer)

2 3.14*4 (5*10-6)2,V8.314*298 4.

τ 2.5654 * 1010

2.99 -t In 3 2.5654 1010

t= 991.39 days

now, P= 1 bar

then

1.0 -t n3 2.5654-1010

t= 326201.38 days

c)

2.5φ

(molar volume of solution*concentration)

η is viscosity

(r in meters)