Question

A certain mass of gas occupies a volume of 300 cc at $27\text{℃}$ and 620 mm pressure. The volume of this gas at $47\text{℃}$ and 640 mm pressure will be

• A. 400 cc
• B. 510 cc
• C. 310 cc
• D. 350 cc

Answer 1

Answer: (C)

Given initial volume $\left({\left(\text{V}\right)}_1\right)=300\text{c}\text{c};$ initial temperature $\left({\left(\text{T}\right)}_1\right)=27\text{℃}=300\text{K},$ initial pressure $\left({\left(\text{p}\right)}_1\right)=620\text{m}\text{m},$ final temperature $\left({\left(\text{T}\right)}_2\right)=47\text{℃}=320\text{K}$ and final pressure $\left({\left(\text{p}\right)}_2\right)=640\text{m}\text{m}.$ We know from the general gas equation
$\frac{{\text{p}}_1{\text{V}}_1}{{\text{T}}_1}=\frac{{\text{p}}_2{\text{V}}_2}{{\text{T}}_2}$
$\Rightarrow \frac{620\times 300}{300}=\frac{640\times {\text{V}}_2}{320}$
$\Rightarrow 310CC$
$\left(\text{w}\text{h}\text{e}\text{r}\text{e},{\left(\text{V}\right)}_2\text{i}\text{s}\text{t}\text{h}\text{e}\text{f}\text{i}\text{n}\text{a}\text{l}\text{v}\text{o}\text{l}\text{u}\text{m}\text{e}\text{o}\text{f}\text{t}\text{h}\text{e}\text{g}\text{a}\text{s}\right)$