Question

The accompanying graph represents the theoretical relationship between the volume and the temperature of a gas under constant pressure: A volume versus temperature graph is shown with volume on the y axis from 0 to 900 cubic centimeters and temperature on the x axis from 0 to 100 Kelvin. A straight line connects 0, 0 to 80, 800. An increase in temperature from 20 Kelvin to 30 Kelvin produces an increase in volume of approximately 0 cubic centimeters 100 cubic centimeters 200 cubic centimeters 300 cubic centimeters 500 cubic centimeters

Answer 1

centimeters 100 cubic centimeters

Step-by-step explanation:

The accompanying graph represents the theoretical relationship between the volume and the temperature of a gas under constant pressure: A volume versus temperature graph is shown with volume on the y axis from 0 to 900 cubic centimeters and temperature on the x axis from 0 to 100 Kelvin. A straight line connects 0, 0 to 80, 800.

First and foremost. We look for the slope then the equation of the line

slope=change in y/change in x

`slope=(y2-y1)/(x2-x1)`

slope=800-0/(80-0)

slope=10

the equation of the line graph y=mx+C

C=intercept

m=slope/gradient

x=x axis

y=vertical axis

y=10x+c

c=0, because the line is on the origin

An increase in temperature from 20 Kelvin to 30 Kelvin produces an increase in volume of approximately ?

y=10x

x1=20K

X2=30K

Dy=10(30-20)

Dy=100

Answer 2

For An increase in temperature from 20 Kelvin to 30 Kelvin produces an increase in volume of approximately 100 cubic centimeters

Step-by-step explanation:

A volume versus temperature graph is shown with volume on the y axis from 0 to 900 cubic centimeters and temperature on the x axis from 0 to 100 Kelvin. A straight line connects 0, 0 to 80, 800.

This graph shows straight line passing through origin. A straight line connects 0, 0 to 80, 800. Thus, the variation on x and y axis is uniform. So, we can say that for increase of 10 Kelvin the volume is increased by 100 cubic centimeter.

Thus, for An increase in temperature from 20 Kelvin to 30 Kelvin produces an increase in volume of approximately 100 cubic centimeters