Find an expression for the total differential

Reference no: EM131009543

The gas equation for one mole of oxygen relates its pressure P (in atmospheres), its temperature, T (in K), and its volume, V (in cubic decimeters):

T = 16.574 (1/V) - 0.52754 (1/V²) + 0.3879 P + 12.187V P

a) Find an expression for the total differential dT in terms of the differentials dV and dP when the volume is 25 dm³ and the pressure is 1 atmosphere. [So your answer should have the terms dT, dV, and dP in it.]

b) Use your answer to estimate how much the volume would have to change if the pressure increased by 0.1 atmosphere and the temperature remained constant.

Reference no: EM131009543

Questions Cloud

Systematic sampling technique is used to select 5 numbers : Systematic Sampling Technique is used to select 5 numbers between 1 and 200. The first selected number is 12.

Which variable is the independent variable : You are consulting for a large real estate firm. You have been asked to construct a model that can predict listing prices based on square footages for homes in the city you've been researching. You have data on square footages and listing prices fo..

Are the brains of left-handed people anatomically different : As an overall measure of the difference between MH and CRH, one can consider the quantity 0.5(m1 - m2) + 0.5(m3 - m4). Construct a 95% confidence interval for this quantity. (This is a sex-adjusted comparison of MH and CRH, where the reference pop..

There is an old belief that red cars get pulled over : There is an old belief that red cars get pulled over for speeding more frequently than cars of other colors. To test whether in fact there is any difference in speeding (as opposed to just biased enforcement), a random sample of red cars and non-red ..

Find an expression for the total differential : Find an expression for the total differential dT in terms of the differentials dV and dP when the volume is 25 dm3 and the pressure is 1 atmosphere.

The following frequency distribution contains information : The following frequency distribution contains information about urban residents' self-evaluation of the likelihood that they will be a victim of crime in the next year.

A political debate between two politician : A political debate between two politicians. One claims that the average income of all American workers is $74,802; the others say that American workers, on average make only $62,149. Is it possible for both these politicians to be correct? If so, exp..

Calculating the median requires data : Calculating the median requires data of at least what scale?

The mean of the standard normal distribution : The mean of the standard normal distribution is 1.0.

User Account

All Pages