Question

Which of the following expression is true regarding gas laws? $( W =$ weight, $M =$ molar mass $)$

• A. $\frac{ T _{1}}{ T _{2}}=\frac{ M _{1} W _{2}}{ M _{2} W _{1}}$
• B. $\frac{ T _{1}}{ T _{2}}=\frac{ M _{2} W _{1}}{ M _{1} W _{2}}$
• C. $\frac{ T _{1}}{ T _{2}}=\frac{ M _{1} W _{1}}{ M _{2} W _{2}}$
• D. $\frac{ T _{2}}{ T _{1}}=\frac{ M _{1} W _{1}}{ M _{2} W _{2}}$

Answer 1

Answer: (A)

Ideal gas equation,

$PV = nRT , T \propto \frac{1}{ n }$

Where; $n=$ number of moles $=\frac{\text { weight }( W )}{\text { molecular weight }( M )}$

$\frac{ T _{1}}{ T _{2}}=\frac{ n _{2}}{ n _{1}}=\frac{ W _{2} M _{1}}{ M _{2} W _{1}}$