A certain sample of a gas has a volume of 20 L at 0°C and 1 atm. A plot of the experimental data of its volume against the Celsius temperature, at constant P, gives a straight line of slope 0.0741 L(C)^-1. From these data alone (without making use of the perfect gas law), determine the absolute zero of temperature in degrees Celsius.

-270 °C

Explanation:

The equation of a straight line in which y (dependent variable) is plotted against x (independent variable) is given as y = mx + b. Where m is the slope of the graph and b is the intercept (y value when x = 0).

Given that the volume (V) is plotted against the Celsius temperature (T). It can be represented by the function:

V = mT + b

m = slope = 0.0741 L(C)^-1, b = intercept (value of volume at temperature of 0°) = 20 L

Hence:

V = 0.0741T + 20

At absolute zero, V = 0 L, therefore:

0 = 0.0741T + 20

0.0741T = -20

T = -20 / 0.0741

T = -269.9

T ≅ -270 °C

hurricanes form when warm, moist air from the ocean surface quickly rises into the atmosphere and forms storm clouds and rain. when the clouds are formed, heat is released which warms the cool air in the upper regions of the atmosphere so that the cycle can continue. which two phases of the water cycle are repeated in this process?