Rate of Change Question (1 Viewer)

[Psychosomatical]

I can kinda get this but need to know in depth what to do..

According to Boyle's Law, the pressure of a gas is given by the formula P = k/V, where k is a constant and V is the volume of the gas. If k = 100 for a certain gas, find the rate of change in the pressure when V = 20

answer = -0.25

Explanation would be great, thanks

 

[youngminii]

Not enough info mate.

 

[Psychosomatical]

My thoughts exactly.. but shoot me if i'm lying, that's the question. I've seen it solved.

 

[Timothy.Siu]

dP/dv=-k/v²
=-100/400=-0.25

 

[gurmies]

Not enough info mate.

dP/dv=-k/v²
=-100/400=-0.25

pwnt. xD

 

[Psychosomatical]

dP/dv=-k/v²
=-100/400=-0.25

Gah? Explain... bare with me i'm quite slow...

 

[youngminii]

I thought rate of change was dP/dt

 

[Psychosomatical]

I thought rate of change was dP/dt

The formula P = k/v is in regards to the pressure of a gas.. If that's the part you were confused about..?

 

[youngminii]

The definition of a 'rate of change' is how much something changes over time.
Is it not?

 

[Psychosomatical]

The definition of a 'rate of change' is how much something changes over time.
Is it not?

You got it, stud.




Anyway I understand the answer the poster gave.. Differentiating the pressure of a gas formula. Since when can we differentiate formulas to suit our first deriving rate of changing needs... I wasn't aware it was that easy.



Edit: Ahh i see.. It is all clear now.. I was just blinded by my inability to open up my mind and see what was in fact being measured. thankyou for all your help.

 

[random-1005]

I can kinda get this but need to know in depth what to do..

According to Boyle's Law, the pressure of a gas is given by the formula P = k/V, where k is a constant and V is the volume of the gas. If k = 100 for a certain gas, find the rate of change in the pressure when V = 20

answer = -0.25

Explanation would be great, thanks

this is from the maths in focus book isnt it?
ive seen the exact same one before