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.

28

step-by-step explanation:

8+8+6+6

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.