The dimension of the gravitational constant G is M−1L3T−2.
| Quantity | Basic Dimensions |
|---|
| Surface Tension | FL-1 | MT -2 |
| Velocity | LT -1 | LT -1 |
| Viscosity | FL-2T | ML-1T -1 |
| Volume | L3 | L3 |
Gas constant
| Values of R | Units |
|---|
| 8.31446261815324×103 | L⋅Pa⋅K−1⋅mol−1 |
| 8.31446261815324×10−2 | L⋅bar⋅K−1⋅mol−1 |
| US Customary Units |
| 0.730240507295273 | atm⋅ft3⋅lbmol-1°R-1 |
Electric charge has the dimension electric current time. The SI derived unit of electric charge is the coulomb, which is defined as an ampere second. An abcoulomb is defined as coulombs and is energy-equivalent to the unit square root centimeter square root gram ().
Kinetic energy can be defined as the energy possessed by the body by virtue of its motion. Dimensional Formula of Kinetic energy= M1L2T-2. SI unit of Kinetic energy is Joule (J). Note : In the above equation ½ is a constant and constants do not affect the dimensional formula of any quantity.
The gas constant R is 8.314 J / mol·K. Convert the numerical value of R so that its units are cal / (mol·K). A unit conversion table will tell you that 1 cal = 4.184 J.
| Quantity | Dimension | Root definition and Notes |
|---|
| Temperature | K | kelvin |
| Quantity of substance | mol | mole |
| Luminosity | Luminous intensity | cd | candle |
| Pseudo-dimensional quantities: |
Molar gas volume. At a given temperature and pressure , one mole of any gas occupies the same volume . The molar volume is the volume occupied by one mole of any gas, at room temperature and pressure. The molar volume is equal to 24 dm 3 (24,000 cm 3).
Energy is defined as the ability to do work. Work is defined as a force acting through a distance so the basic dimensional units of energy are force x distance. Work is defined as a force acting through a distance so the basic dimensional units of energy are force x distance.
Key Points
- The molar mass is the mass of a given chemical element or chemical compound (g) divided by the amount of substance (mol).
- The molar mass of a compound can be calculated by adding the standard atomic masses (in g/mol) of the constituent atoms.
The gas constant R is 8.314 J / mol·K. Convert the numerical value of R so that its units are cal / (mol·K).
The gas constant (also known as the molar,universal, or ideal gas constant, denoted by the symbol R or R) is a physical constantwhich is featured in many fundamental equations in the physical sciences, such as the ideal gas law and the Nernst equation.
The ideal gas law is: pV = nRT, where n is the number of moles, and R is universal gas constant. The value of R depends on the units involved, but is usually stated with S.I. units as: R = 8.314 J/mol·K.
A real gas is a gas that does not behave as an ideal gas due to interactions between gas molecules.
Boyle's law states that at constant temperature the volume of a given mass of a dry gas is inversely proportional to its pressure. Daniel Bernoulli (in 1737–1738) derived Boyle's law by applying Newton's laws of motion at the molecular level.
In this equation the symbol R is a constant called the universal gas constant that has the same value for all gases—namely, R = 8.31 J/mol K. The power of the ideal gas law is in its simplicity.
The gas constant R is 8.314 J / mol·K. Convert the numerical value of R so that its units are cal / (mol·K). A unit conversion table will tell you that 1 cal = 4.184 J.
The ideal gas law is: pV = nRT, where n is the number of moles, and R is universal gas constant. The value of R depends on the units involved, but is usually stated with S.I. units as: R = 8.314 J/mol·K.
The value of the gas constant 'R' depends on the units used for pressure, volume and temperature.
- R = 0.0821 liter·atm/mol·K.
- R = 8.3145 J/mol·K.
- R = 8.2057 m3·atm/mol·K.
- R = 62.3637 L·Torr/mol·K or L·mmHg/mol·K.
S = Specific Gas Constant, MW = Molecular Weight, R = Universal Gas Constant = 8314 J/kmol-K. The Specific Gas Constant is defined as the gas constant divided by the molar mass of a gas.
