Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To solve the given question about the ideal gas constant [tex]\( R \)[/tex] in the Ideal Gas Law, we need to understand why [tex]\( R \)[/tex] has different values.
The Ideal Gas Law is given by:
[tex]\[ PV = nRT \][/tex]
Here:
- [tex]\( P \)[/tex] = Pressure
- [tex]\( V \)[/tex] = Volume
- [tex]\( n \)[/tex] = Number of moles
- [tex]\( R \)[/tex] = Ideal gas constant
- [tex]\( T \)[/tex] = Temperature
The value of [tex]\( R \)[/tex] is dependent on the units used for pressure ([tex]\( P \)[/tex]), volume ([tex]\( V \)[/tex]), and temperature ([tex]\( T \)[/tex]). Different units for these quantities necessitate different values of [tex]\( R \)[/tex] to keep the Ideal Gas Law valid.
1. Pressure can be measured in atmospheres (atm), pascals (Pa), or mmHg.
2. Volume can be measured in liters (L) or cubic meters (m³).
3. Temperature must always be in Kelvin (K) when using the Ideal Gas Law to ensure consistency.
4. Number of moles ([tex]\( n \)[/tex]) is a measure of the amount of substance and is expressed in moles (mol).
Given these variations, the ideal gas constant [tex]\( R \)[/tex] must adjust accordingly to maintain consistency in the equation. This means that different unit combinations will require different values of [tex]\( R \)[/tex].
The root cause of these differing values for [tex]\( R \)[/tex] is related to the units of measurement used for pressure, volume, and sometimes temperature. However, fundamentally, the value of [tex]\( R \)[/tex] changes because of the combination of these units.
Let’s break down the impact of each option provided:
- Pressure: Different units of pressure (atm, Pa, mmHg) change the value of [tex]\( R \)[/tex] when used in the equation.
- Temperature: Temperature in the Ideal Gas Law is always in Kelvin, so it doesn’t contribute to different values of [tex]\( R \)[/tex].
- Volume: Different units of volume (L, m³) impact the value of [tex]\( R \)[/tex].
- Moles: The amount in moles is consistent in the SI system and does not change [tex]\( R \)[/tex].
Therefore, considering that the problem inherently lies in the units used:
The quantity that causes the difference in the value of [tex]\( R \)[/tex] is fundamentally linked to units of measurement.
Since "units of measurement" is not one of the provided choices, we must understand which option closely correlates to this concept. Given that:
- The number of moles [tex]\( n \)[/tex] is a core aspect of the gas constant’s definition and the change in [tex]\( R \)[/tex] values can be seen as adjusting for a given amount of substance.
Thus, moles is the best choice among the provided options.
So, the correct answer is:
D. Moles
The Ideal Gas Law is given by:
[tex]\[ PV = nRT \][/tex]
Here:
- [tex]\( P \)[/tex] = Pressure
- [tex]\( V \)[/tex] = Volume
- [tex]\( n \)[/tex] = Number of moles
- [tex]\( R \)[/tex] = Ideal gas constant
- [tex]\( T \)[/tex] = Temperature
The value of [tex]\( R \)[/tex] is dependent on the units used for pressure ([tex]\( P \)[/tex]), volume ([tex]\( V \)[/tex]), and temperature ([tex]\( T \)[/tex]). Different units for these quantities necessitate different values of [tex]\( R \)[/tex] to keep the Ideal Gas Law valid.
1. Pressure can be measured in atmospheres (atm), pascals (Pa), or mmHg.
2. Volume can be measured in liters (L) or cubic meters (m³).
3. Temperature must always be in Kelvin (K) when using the Ideal Gas Law to ensure consistency.
4. Number of moles ([tex]\( n \)[/tex]) is a measure of the amount of substance and is expressed in moles (mol).
Given these variations, the ideal gas constant [tex]\( R \)[/tex] must adjust accordingly to maintain consistency in the equation. This means that different unit combinations will require different values of [tex]\( R \)[/tex].
The root cause of these differing values for [tex]\( R \)[/tex] is related to the units of measurement used for pressure, volume, and sometimes temperature. However, fundamentally, the value of [tex]\( R \)[/tex] changes because of the combination of these units.
Let’s break down the impact of each option provided:
- Pressure: Different units of pressure (atm, Pa, mmHg) change the value of [tex]\( R \)[/tex] when used in the equation.
- Temperature: Temperature in the Ideal Gas Law is always in Kelvin, so it doesn’t contribute to different values of [tex]\( R \)[/tex].
- Volume: Different units of volume (L, m³) impact the value of [tex]\( R \)[/tex].
- Moles: The amount in moles is consistent in the SI system and does not change [tex]\( R \)[/tex].
Therefore, considering that the problem inherently lies in the units used:
The quantity that causes the difference in the value of [tex]\( R \)[/tex] is fundamentally linked to units of measurement.
Since "units of measurement" is not one of the provided choices, we must understand which option closely correlates to this concept. Given that:
- The number of moles [tex]\( n \)[/tex] is a core aspect of the gas constant’s definition and the change in [tex]\( R \)[/tex] values can be seen as adjusting for a given amount of substance.
Thus, moles is the best choice among the provided options.
So, the correct answer is:
D. Moles
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
