Identify Gas Based on Specific Heat Formula and Universal Gas Constant R

In summary, the molar specific heat at constant volume is ##Q=C_vnRT## and for constant pressure is ##Q=C_pnRT##. The gas can be identified by using specific values for Cv and Cp, which vary for different gases. Without these values, the only method is to look it up in a table and hope to identify the gas.
  • #1
Firye Stanly
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0

Homework Statement


For some gas specific heats for constant pressure and constant volume are calculated. Universal gas constant is R. Find the formula the helps identify the gas. Include only constants and given information.

Homework Equations


3. The Attempt at a Solution [/B]
Molar specific heat at constant volume is ##Q=C_vnRT## and for constant pressure is ##Q=C_pnRT##. Is there anything i can use to find that which can help me identify the gas? And what that might be?
 
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  • #2
Cv and Cp are different for different gases. Do you have specific values? Otherwise I don't see how to proceed apart from "look it up in a table and hope to identify the gas".
 

1. What is the specific heat formula for identifying gas?

The specific heat formula for identifying gas is Q = mcΔT, where Q represents the amount of heat absorbed or released by the gas, m represents the mass of the gas, c represents the specific heat capacity of the gas, and ΔT represents the change in temperature.

2. How do I calculate the specific heat capacity of a gas?

The specific heat capacity of a gas can be calculated by dividing the amount of heat absorbed or released (Q) by the mass of the gas (m) and the change in temperature (ΔT). This can be represented by the formula c = Q/(mΔT).

3. What is the universal gas constant (R) and how is it related to specific heat?

The universal gas constant (R) is a constant value that relates the properties of a gas to its temperature, pressure, and volume. It is used in the ideal gas law (PV = nRT), where P represents pressure, V represents volume, n represents the number of moles of gas, and T represents the temperature. The specific heat capacity of a gas is directly proportional to the universal gas constant (c = R/n).

4. Can the specific heat formula be used to identify any gas?

Yes, the specific heat formula can be used to identify any gas as long as the mass, specific heat capacity, and change in temperature are known or can be measured. However, it is important to note that different gases may have different specific heat capacities, so it may be necessary to use the universal gas constant to accurately identify the gas.

5. How can identifying a gas based on its specific heat be useful in scientific research?

Identifying a gas based on its specific heat can be useful in scientific research for a variety of reasons. It can help determine the composition of a gas mixture, as different gases will have different specific heat capacities. It can also aid in the study of thermodynamics and energy transfer, as the specific heat of a gas can provide insight into how it will react to changes in temperature. Additionally, identifying a gas can provide valuable information for industrial and environmental applications, such as in the production of energy or in monitoring air quality.

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