In an isothermal process on an ideal gas, the pressure increases by 0.5% . The volume decreases by about.

Options

A. `0.25%`
B. `0.50%`
C. `0.7%`
D. `1%`

Answer

B

Explanation

`PV=P(1+(0.5)/(100))V'`
`(V')/(V)=(1+(0.5)/(100))^(-1)=1-(0.5)/(100)`
`(V')/(V)-1=-(0.5)/(100)`
`((V')/(V)-1)xx100=-0.5%`
`0.5%` decrease
Note: for `%` change, use `(("final value")/("initial value")-1)xx100%`
Use binomial theorem for calculation if change is `le10%`.