Answer :
Final answer:
We can calculate the amount of monatomic ideal gas involved in a process within a Carnot engine by first calculating the heat absorbed and then using the ideal gas law equation to find the amount of gas. Given the change in volume and temperature, as well as the amount of heat rejected by the engine, we can find the number of moles of gas.
Explanation:
The subject of this question is the calculation of the amount of ideal monatomic gas involved in a process within a Carnot engine. Here, the Carnot engine is specified to be operating between two temperatures TH and TL and the heat rejected by the engine is given. From this information, along with the change in volume during the contraction process, we can calculate the amount of gas.
First, we should calculate the amount of heat absorbed, QL, by using the formula Q = mL∆T, where m is the mass, L is the specific latent heat and ∆T is the change in temperature. In this case, we can use the known values to find QL = QH - Qrejected = 1340 Joules.
Next, we can use the ideal gas law equation PV = nRT, where P is the pressure, V is the volume, n is the number of mols, R is the gas constant and T is the temperature. Rearranging for n, we find n = PV/RT. In this case, we are concerned with changes in the system at constant pressure, so Δn = ΔV/(RT). Hence, upon substituting the given values, we can calculate the amount of gas involved in the process, n.
Learn more about Carnot Engine here:
https://brainly.com/question/14680478
#SPJ11
