Question $3$:

$(16$

Consider a gas mixture in which we have $30g$ He and $70$gAr at $25C$ at a total pressure of $750mmHg.$

a$)$ Calculate the root mean square average speed $($in $\frac{m}{s})$ of $He$ atoms at $25C.$

b$)$ Do Ar atoms move faster or slower $($on average$)$ than He atoms? $($Answer this without doing a calculation but still basing your answer to an equality or proportionality$)$

c$)$ Which of the gas will leave the container in a shorter time if this gas mixture is allowed to escape from a very tiny orifice?

d$)$ What is the partial pressure $($in $mmHg)$ of $Ar$ in the given gas mixture?