Question

The water pressure on Mustafa as he dives is increasing at a rate of 0.992 atmospheres (atm) per meter (m)

What is the rate of increase in water pressure in atm/km?

Answer 1

To pass it to atmospheres per kilometer you must multiply the value you have by 1000 because one kilometer represents 1000 meters. Therefore the correct answer would be that 0.992 atmospheres (atm) per meter (m) are 992 atmospheres per kilometer. 

Answer 2

Rate of increase in water pressure is
`992\ \frac{\text{atm}}{\text{km}}`

Explanation:

The water pressure on Mustafa as he dives is increasing at a rate of
`0.992\ \frac{\text{atm}}{\text{m}}`

We know that,

`1\ Kilometer=1\ meter\ \ \ \Rightarrow \ \ \ 1\ meter=10^(-3)\ Kilometer`

Hence,

`0.992\ \frac{\text{atm}}{10^(-3)\ \text{km}}=0.992* 10^3\ \frac{\text{atm}}{\text{km}}=992\ \frac{\text{atm}}{\text{km}}`

Therefore, rate of increase in water pressure is
`992\ \frac{\text{atm}}{\text{km}}`