7500 J of heat is transferred to the ideal monatomic gas in the cylinder under the piston.

7500 J of heat is transferred to the ideal monatomic gas in the cylinder under the piston. what kind of work does the gas do if the expansion took place with constant pressure.

Given: i (degree of freedom, we have a monatomic gas) = 3,

Q (amount of heat) = 7500 J.

Find: A (work) -?

Let us write down the first law of thermodynamics: Q = A + ΔU,

A = p * ΔV (isobaric isoprocess, since p = const),
ΔU = 1.5 p * ΔV (i = 3),

Q = 2.5 p * ΔV,

p * ΔV = A = Q / 2.5,

A = 7500 J / 2.5 = 3000 J.

Answer: 3000 (J).