# I Ideal Gas Law and Differentiation

1. Dec 17, 2016

### Siddharth Rajvanshi

Is it possible to calculate the rate of change of n with respect to rate of change of Pressure and rate of change of Temperature with V unknown but constant by PV = nRT?

Rate of change of Pressure and rate of change of temperature can be measured. R and V are constants.

2. Dec 17, 2016

### Ssnow

Are you assuming that $n$ varies in time and is not constant ?

3. Feb 17, 2017

### Ravikant Rajan

It seems to be possible with simple differentiation. However 'n' must be known at the point of time.

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4. Feb 17, 2017

### Staff: Mentor

$$\frac{d\ln{n}}{dt}=\frac{d\ln{P}}{dt}-\frac{d\ln{T}}{dt}$$