question_answer

A gas at 298 K is shifted from a vessel of \[250c{{m}^{3}}\] capacity to that of 1L capacity. The pressure of the gas will ____ at constant temperature. (a) Become double (b) Becomes four times (c) Decrease to half of the original value (d) Decreases to one-fourth of the original value.

Answer:

\[250\times {{P}_{1}}=1000\times {{P}_{2}}\] \[\therefore \]\[\frac{{{P}_{2}}}{{{P}_{1}}}=\frac{1}{4}\](or) \[{{P}_{2}}=\frac{1}{4}{{P}_{1}}\]