# What amount of heat was imparted to a monatomic gas by the amount of substance 1 mol

March 25, 2021 | education

| **What amount of heat was imparted to a monatomic gas by the amount of substance 1 mol, if it was heated by 10 K during isobaric expansion?**

The amount of heat transferred to the gas during isobaric expansion is calculated by the formula:

Q = A + ∆U, where A is the work done by the system, ∆U is the change in internal energy.

А = υ * R * ∆T, where υ is the amount of substance (υ = 1 mol), R is the universal gas constant (R = 8.31 J / (mol * K)), ∆T is the temperature change (∆T = 10 K).

Q = 3/2 (υ * R * ∆T).

Then:

Q = A + ∆U = υ * R * ∆T + 3/2 (υ * R * ∆T) = 5/2 (υ * R * ∆T) = 2.5 * 1 * 8.31 * 10 = 207 , 75 J.

Answer. A monatomic gas with isobaric expansion was reported to be 207.75 Joules of heat.

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