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Gasses have two specific heat capacities because the boundary conditions can affect the number by up to 60%. Therefore, a number is given to each boundary condition: isobaric (constant pressure) or isochoric (constant volume). In an ideal gas, they differ by the quantity R (the gas constant - the same one you use in the ideal gas law):
Cp = Cv + R
where Cp is the isobaric molar heat capacity (specific heat) and Cv is the isochoric molar heat capacity.
What else can I help you with?
Define molar specific heats of a gas?
Molar specific heats of a gas refer to the amount of heat required to raise the temperature of one mole of the gas by one degree Celsius (or Kelvin) at constant pressure or constant volume. The specific heat capacity at constant pressure is denoted as Cp, and at constant volume as Cv. These values are important in understanding the thermodynamic behavior of gases.
Is the molar kinetic energy of chlorine gas equal to greater to or less than the molar kinetic energy of nitrogen at 25 degrees Celsius?
The molar kinetic energy of chlorine gas is equal to the molar kinetic energy of nitrogen gas at 25 degrees Celsius. Temperature is the only factor that determines the average kinetic energy of gas particles, not the type of gas.
Graham's law states that the rate of effusion of a gas is inversely proportional to the square root of the?
molar mass of the gas. This means that lighter gas molecules effuse at a faster rate than heavier gas molecules at the same temperature.
What does a molar volume of a gas at STP occupy?
At STP (standard temperature and pressure), one mole of any gas occupies a volume of 22.4 liters. This is known as the molar volume of a gas at STP.
How can one determine the density of a substance when provided with its pressure and temperature?
To determine the density of a substance when given its pressure and temperature, you can use the ideal gas law equation, which is density (pressure molar mass) / (gas constant temperature). This formula allows you to calculate the density of the substance based on the provided pressure and temperature values.
What are the differences between the specific heat capacities (cp) and molar heat capacities (cv) of a substance, and how do they relate to the number of degrees of freedom (nr) in the system?
The specific heat capacity (cp) of a substance measures the amount of heat needed to raise the temperature of a unit mass of the substance by 1 degree Celsius, while the molar heat capacity (cv) measures the heat needed to raise the temperature of one mole of the substance by 1 degree Celsius. The relationship between cp and cv is given by the equation cp cv R, where R is the gas constant. The number of degrees of freedom (nr) in a system is related to the molar heat capacity through the equation cv (nr/2)R. This means that the molar heat capacity is directly proportional to the number of degrees of freedom in the system.
What is the relation of the molar heat of fusion to the molar heat of vaporization?
Molar heat of fusion: the heat (enthalpy, energy) needed to transform a solid in liquid (expressed in kJ/mol). Molar heat of vaporization: the heat (enthalpy, energy) needed to transform a liquid in gas (expressed in kJ/mol).
Define molar specific heats of a gas?
Molar specific heats of a gas refer to the amount of heat required to raise the temperature of one mole of the gas by one degree Celsius (or Kelvin) at constant pressure or constant volume. The specific heat capacity at constant pressure is denoted as Cp, and at constant volume as Cv. These values are important in understanding the thermodynamic behavior of gases.
Why is the molar specific heat of the diatomic gas usually larger than that of mono-atomic gas?
A monatomic gas has no contribution from vibration to its specific heat. A diatomic gas has both vibration of the two atoms as the stretch and compress the bond between them and can rotate faster or slower. With more ways to store energy than just translational energy, diatomic gases tend to have higher heat capacities.
Calculate molar heat of sublimation?
You could calculate the molar heat of sublimation as long as you know by placing a known amount of a known quantity in a calorimeter and measuring the change in temperature during sublimation. Then use the equation E=mc(change in T) where E is energy in joules, m is mass, c is heat capacity, and T is temperature.
What three things affect airpressure?
Heat, number of molecules, atmospheric pressure and volume Volume * Pressure = molecules * molar gas constant * Heat
What is the values of molar gas constant R when volume is in milliliter?
Probable 8,314462 1(75) cm3MPaK−1 mol−1.
An unknown gas with a mass of 8.32 g is held at 25 degrees Celsius in an 8.42 L tank under 1147.6 mmHg pressure What is the molar mass of the gas?
Using the ideal gas law, we can solve for the molar mass of the gas. The formula is Molar Mass = (mass of gas * gas constant * temperature)/(pressure * volume). Plugging in the values: Molar Mass = (8.32 g * 0.0821 L atm/mol K * 298 K)/(1147.6 mmHg * 1 atm/760 mmHg * 8.42 L). This gives a molar mass of approximately 31.98 g/mol, which suggests the gas could be carbon dioxide (CO2) with a molar mass of 44.01 g/mol.
Why is the molar specific heat of a diatomic gas usually larger than that of monoatomic gas?
Diatomic gases have more degrees of freedom. They are also larger in size and mass. specific heat is proportional to the number of degrees of freedom; monatomic gases can only move linearly and have 3 degrees of freedom, molecules can also rotate and vibrate, so have more degrees of freedom.
Why general gas equation is used in the proof of cp-cvR?
The general gas equation, PV = nRT, is used in the proof of the specific heat capacities relationship (Cp - Cv = R) because it helps relate the pressure, volume, and temperature of a gas to its moles and universal gas constant, allowing for the derivation of Cp and Cv in terms of these properties. This relationship is then utilized to show that the difference between the specific heat capacities at constant pressure and constant volume is equal to the universal gas constant.
What is the relationship between the molar mass of a gas and its density?
The relationship between the molar mass of a gas and its density is that as the molar mass of a gas increases, its density also increases. This means that gases with higher molar masses will be denser than gases with lower molar masses.
How does the phase of water affect its specific heat capacity?
Typical heat capacities are (exact values depend on temperature): Solid (Ice): 2.108 kJ/kg·K Liquid (water): 4.187 kJ/kg·K Gas (water vapor/steam): 1.996 kJ/-kg·K In comparison - you can see that liquid water has a higher heat capacity that ice or steam.
