[填空题]
An experiment is conducted on a gas confinerh1lr )qj 1fyu0c h(p bi4f r/fv;(3vxd in a container. The pressure P merrv1ib(uf(hhry1xj4/ )qpflf3 v;0 c btstthi0f:5fp 10tt9nd0f p 7asured in Pascals, and thtp t0i tfnt1t0 s7pbff0:h9d5 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.
