Chapter 3, Problem 98E

Interpretation Introduction

(a)

Interpretation:

If the pressure of a sample of gas is held constant, its volume, V, is directly proportional to the absolute temperature of the gas, T. An equation for the proportionality between V and T, in which b is the proportionality constant is to be stated.

Concept introduction:

Generally, proportionality is stated as two varying quantities having multiplicative connection with proportionality constant. When either of their ratio or their product yields a value, this value is called proportionality constant or coefficient of proportionality. The variable of y is related with another variable x via a proportionality constant c as $\mathrm{y}\mathrm{ }=\mathrm{ }\mathrm{c}\mathrm{x}$. In other words, the value of proportionality constant c is given by y/x.

Interpretation Introduction

(b)

Interpretation:

For 48.0 grams of O₂ gas at a pressure of 0.373 atmospheres, V is observed to be 93.4 L when T is 283 K. The value and units of the proportionality constant, b is to be calculated.

Concept introduction:

Generally, proportionality is stated as two varying quantities having multiplicative connection with proportionality constant. When either of their ratio or their product yields a value, this value is called proportionality constant or coefficient of proportionality. The variable of y is related with another variable x via a proportionality constant c as y = cx. In other words, the value of proportionality constant c is given by y/x.

Interpretation Introduction

(c)

Interpretation:

The volume will this gas sample occupy at a temperature of 375 K is to be stated.

Concept introduction:

Generally, proportionality is stated as two varying quantities having multiplicative connection with proportionality constant. The variable of y is related with another variable x via a proportionality constant c as y = cx. In other words, the value of proportionality constant c is given by y/x.