What quantity of energy is represented by 250cm^3 of a gas 100N.m^2 when the temperature is kept constant
To determine the quantity of energy represented by 250 cm³ of gas at a pressure of 100 N·m² when the temperature is kept constant, you need to use the ideal gas law equation. The ideal gas law is expressed as:
PV = nRT
Where:
- P is the pressure of the gas
- V is the volume of the gas
- n is the number of moles of gas
- R is the ideal gas constant
- T is the temperature of the gas in Kelvin
In this case, we are keeping the temperature constant, which means T will remain the same. Therefore, the equation simplifies to:
PV = nR (1)
Now, we need to find the number of moles (n) in order to calculate the quantity of energy. The number of moles can be determined using the ideal gas equation rearranged to solve for moles:
n = PV / RT (2)
Given that the pressure (P) is equal to 100 N·m², and the volume (V) is equal to 250 cm³ (which needs to be converted to SI units, such as m³), we have:
V = 250 cm³ = 250 x 10⁻⁶ m³ (since 1 cm³ = 10⁻⁶ m³)
Substituting these values and the ideal gas constant R into equation (2), you can calculate the number of moles (n). The ideal gas constant R has a value of approximately 8.314 J/(mol·K).
Next, to find the quantity of energy, you can use the formula:
Energy = nRT
Substitute the values of n, R, and T into the equation, and solve for energy. Remember to make sure the units are consistent for all the variables (e.g., pressure in pascals, volume in cubic meters, temperature in Kelvin).
By following these steps, you can determine the quantity of energy represented by 250 cm³ of a gas at a pressure of 100 N·m² when the temperature is kept constant.