题库网 (tiku.one)

 找回密码
 立即注册

手机扫一扫,访问本页面

开启左侧

IB MAI HL Calculus Topic 5.4 Differential Equations (id: 0287240ca)

[复制链接]
admin 发表于 2024-3-22 17:13:38 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.4 Differential Equations,类别为 IB数学

[填空题]
An experiment is conducte7quvbt)b h5x :(qdkezn t-50 hsykt59 2lsq/i 1zp0rx.5kwtes /qm- ed on a gas confined in a container. The pressure P measured in Pascals, and the volume V mearsep/5xqm. zitw- k1 0sured 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.




参考答案: 40000


本题详细解析:

微信扫一扫,分享更方便

帖子地址: 

回复

使用道具 举报

您需要登录后才可以回帖 登录 | 立即注册

本版积分规则

浏览记录|使用帮助|手机版|切到手机版|题库网 (https://tiku.one)

GMT+8, 2024-12-26 02:52 , Processed in 0.058848 second(s), 28 queries , Redis On.

搜索
快速回复 返回顶部 返回列表