A piston with a volume of 24 liters contains 3.0 moles of argon.It is heated from 20 degrees Celsius to 178 degrees Celsius,and the piston is allowed to expand during the heating process so that the pressure on the gas remains constant.How much heat must be added to the gas to heat it?

Question

Quizplus · Accepted Answer

First, we need to convert the temperature to Kelvin by adding 273.15 to each temperature. So the initial temperature is 293.15 K and the final temperature is 451.15 K. Since the pressure remains constant, we can use the formula Q = nCpΔT, where n is the number of moles, Cp is the molar heat capacity at constant pressure, and ΔT is the change in temperature. 
Using the molar heat capacity of argon at constant pressure (Cp = 20.8 J/mol*K), we get: 
Q = 3.0 mol * 20.8 J/mol*K * (451.15 K - 293.15 K) = 9900 J
Therefore, the answer is C.

A Piston with a Volume of 24 Liters Contains 3