A) \[2\text{ }d{{m}^{3}}\]
B) \[3\text{ }d{{m}^{3}}\]
C) \[4\text{ }d{{m}^{3}}\]
D) \[8\text{ }d{{m}^{3}}\]
Correct Answer: C
Solution :
Given \[\frac{{{P}_{2}}}{{{P}_{1}}}=2,\frac{{{T}_{2}}}{{{T}_{1}}}=2,\,{{V}_{1}}=4\,d{{m}^{3}},\,{{V}_{2}}=?\] From gas equation, \[\frac{{{P}_{1}}\,{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}\,{{V}_{2}}}{{{T}_{2}}}\] or \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{{{P}_{2}}}{{{P}_{1}}}\times \frac{{{T}_{1}}}{{{T}_{2}}}\] \[\therefore \] \[\frac{4}{{{V}_{2}}}=2\times \frac{1}{2}=1\] \[\therefore \] \[{{V}_{2}}=4\,\,d{{m}^{3}}\]
You need to login to perform this action.
You will be redirected in
3 sec
