Acertain sample of a gas has a volume of 20.00 dm3 at 0 °c and 1.000 atm. a plot of the experimental data of its volume against the celsius temperature, θ, at constant p, gives a straight line of slope 0.0741 dm3 °c−1. from these data alone (without making use of the perfect gas law), determine the absolute zero of temperature in degrees celsius.

Step-by-step explanation:

Notation

represent the intercept for the linear model

represent the temperature in Celsius degrees

represent the volume for a given temperature on dm^3

For this case we have a linear model relating the volume V, with the temperature and with constant pressure.

So for this case the linear model would be:

We have an initial condition given

If we use this condition in the linear model we can find the intercept:

So for this case the intercept is

So th linear model is given by:

We are interedtes on the absolute zero temperature, and that occurs when the volume V=0, and assuming this we can find the temperature where we have the absolute zero temperature. So we can set up the equation like this:

And solving for we got:

And that's our final answer.

answer: can you give the

step-by-step explanation: