Concept explainers
A 1.0-L flask contains 10.0 g each of O2 and CO2 at 25 °C.
- (a) Which gas has the greater partial pressure, O2 or CO2, or are they the same?
- (b) Which molecules have the greater rms speed, or are they the same?
- (c) Which molecules have the greater average kinetic energy, or are they the same?
(a)
Interpretation:
For the given set of gases under given temperature, volume and amount the gas with greater partial pressure, with greater
Concept introduction:
Ideal gas Equation:
Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.
Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties. At lower temperature and at high pressures the gas tends to deviate and behave like real gases.
Boyle’s Law:
At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume.
Charles’s Law:
At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature.
Avogadro’s Hypothesis:
Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.
The root mean square velocity
Root mean square velocity can be determined,
Molar mass: The molar mass of a substance is determined by dividing the given mass of substance by the amount of the substance.
Average Kinetic energy: The kinetic energy for the gas is directly proportional to the kelvin temperature. The kinetic energy is equal to half of the multiplied value obtained by multiplication of mass of gas with
Answer to Problem 107SCQ
The gas
Explanation of Solution
Given:
Using ideal gas equation the partial pressure for each of the given gas is calculated as follows,
From the above calculation it is clear that
(b)
Interpretation: For the given set of gases under given temperature, volume and amount the gas with greater partial pressure, with greater
Concept introduction:
Ideal gas Equation:
Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.
Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties. At lower temperature and at high pressures the gas tends to deviate and behave like real gases.
Boyle’s Law:
At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume.
Charles’s Law:
At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature.
Avogadro’s Hypothesis:
Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.
The root mean square velocity
Root mean square velocity can be determined,
Molar mass: The molar mass of a substance is determined by dividing the given mass of substance by the amount of the substance.
Average Kinetic energy: The kinetic energy for the gas is directly proportional to the kelvin temperature. The kinetic energy is equal to half of the multiplied value obtained by multiplication of mass of gas with
Answer to Problem 107SCQ
The gas
Explanation of Solution
The
From the above calculation it is clear that
(c)
Interpretation: For the given set of gases under given temperature, volume and amount the gas with greater partial pressure, with greater
Concept introduction:
Ideal gas Equation:
Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.
Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties. At lower temperature and at high pressures the gas tends to deviate and behave like real gases.
Boyle’s Law:
At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume.
Charles’s Law:
At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature.
Avogadro’s Hypothesis:
Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.
The root mean square velocity
Root mean square velocity can be determined,
Molar mass: The molar mass of a substance is determined by dividing the given mass of substance by the amount of the substance.
Average Kinetic energy: The kinetic energy for the gas is directly proportional to the kelvin temperature. The kinetic energy is equal to half of the multiplied value obtained by multiplication of mass of gas with
Answer to Problem 107SCQ
Both the given gases have same kinetic energy since both are under same temperature conditions.
Explanation of Solution
The kinetic energy for the molecules is determined by the temperature in which the gases are placed. Both the given gases are placed under same temperature that is at
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