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.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x