[填空题]
An experiment is conduc(a ,eqgblpnfuo 8/5 4zted on a gas confined in .5x ,)t; h,mexep8gwnw j;,eqj b)ib wa container. The pressure P measured in Pascals, and thwextg ;ewimn)qe )8 bxjbp,,j. 5h,w;e volume V measured in \mathrm{cm}^{3} satisfy the differential equation
$\frac{\mathrm{d} P}{\mathrm{~d} V}=-\frac{P}{V}$
Initially, the gas has a pressure of 20000 Pascals and it is confined in a container with a volume of 100 $\mathrm{~cm}^{3}$ .
1. Solve the differential equation to show that
P=$\frac{2000000}{V}$
2. Calculate the pressure required to compress the gas to a different container that has a volume of 50 $\mathrm{~cm}^{3}$ .
P= Pa.
