A) 400 c.c.
B) 510 c.c.
C) 310 c.c.
D) 350 c.c.
Correct Answer: C
Solution :
Given initial volume \[({{V}_{1}})=300\,c.c;\] initial temperature \[({{T}_{1}})=27{{\,}^{o}}C=300K\] intial pressure \[({{P}_{1}})=620\,mm,\] final temperature \[({{T}_{2}})=47{{\,}^{o}}C=320\,K\] and final pressure \[({{P}_{2}})=640\,mm.\]We Know from the general gas equation: \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\] \[=\frac{620\times 300}{300}=\frac{640\times {{V}_{2}}}{320}\] \[=310\,c.c.\] (where \[{{\text{V}}_{\text{2}}}\]is the final volume of the. gas)
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