A perfect gas at 415 degree centigrade. The volume remains constant at 20 cubic meters and pressure of 1750 Gauge. Calculate the final value of V2 AND T2
To calculate the final values of V2 (volume) and T2 (temperature), we need to apply the ideal gas law equation. The ideal gas law equation is stated 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 the gas
R is the ideal gas constant (which is equal to 8.314 J/(mol·K))
T is the temperature of the gas in Kelvin
Given that the gas is a perfect gas, we can assume that the number of moles (n) remains constant during the process.
Now, let's break down the problem:
1. Convert the temperature from degrees Celsius to Kelvin. To do this, we add 273.15 to the given temperature:
T1 = 415 + 273.15 = 688.15 K
2. Substitute the given values into the ideal gas law equation:
P1 * V1 = n * R * T1
Since the volume (V1) remains constant at 20 cubic meters, we can rewrite the equation as:
P1 = n * R * T1 / V1
3. Calculate the number of moles (n):
To determine the number of moles (n), we need additional information such as the identity of the gas or the mass of the gas.
Without knowing the number of moles, we cannot determine the final values of V2 and T2 using the given information alone.