Chapter 9, Problem 9.46SP

(a)

Interpretation Introduction

Interpretation:

If the kelvin temperature is tripled while holding the volume constant, the gas pressure inside the cylinder with a movable piston has to be explained.

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature

(b)

Interpretation Introduction

Interpretation:

If the amount of gas reduced by $\text{1/3}$, while holding the temperature and volume are constant. The gas pressure inside the cylinder with a movable piston has to be explained.

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature

(c)

Interpretation Introduction

Interpretation:

If the volume is decreased by $\text{45\%}$ at a constant temperature. The gas pressure inside the cylinder with a movable piston has to be explained.

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature

(d)

Interpretation Introduction

Interpretation:

If the kelvin temperature is halved and the volume is tripled, the gas pressure inside the cylinder with a movable piston has to be explained.

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature