(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 y = c x . In other words, the value of proportionality constant c is given by y/x.
(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 y = c x . In other words, the value of proportionality constant c is given by y/x.
Solution Summary: The author explains that proportionality is stated as two varying quantities having multiplicative connection with proportional constant. When the pressure of a given gas sample is held constant, its volume, V, is directly proportion
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 y=cx. 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.
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