Afixed amount of ideal gas is kept in a container of fixed volume. the absolute pressure p, in pascals, of the gas is plotted as a function of its temperature t, in degrees celsius. which of the following are properties of a best fit curve to the data? select two answers.
a) having a positive slope
b) passing through the origin
c) having zero pressure at a certain negative temperature
d) approaching zero pressure as temperature approaches infinity

A) Having a positive slope

D) Approaching zero pressure as temperature approaches infinity

Explanation:

A fixed amount of ideal gas is kept in a container of fixed volume. The absolute pressure P, in pascals, of the gas is plotted as a function of its temperature T, in degrees Celsius. Which of the following are properties of a best fit curve to the data? Select two answers.

A) Having a positive slope

B) Passing through the origin

C) Having zero pressure at a certain negative temperature

D) Approaching zero pressure as temperature approaches infinity

solution

from the ideal gas equation

PV=nRT

P=pressure

T=absolute temperature in kelvin

V=volume

R=gas constant 8.314j/molK

n=mole= mass/molecular mass

P=nRT/V

nR/V is the constant

P=nR(Tc+273)/V

plotting the graph we will discover that as pressure increases , temperature also increases . which means it's a positive graph.

Also  Approaching zero pressure as temperature approaches infinity

think about the oscillation of the toy shown in the video. when the toy is at the highest point of its motion, its velocity is zero and its acceleration is negative.

the answer is b ) square root of 5