How much heat is needed to increase the internal energy of a gas in a piston by 3426 J if the gas does 537 J of work on the environment by expanding if the process?

Question

asked Apr 12, 2023 223k views

1 Answer

PKAP · Answer 1 · 2023-04-17T11:34:49+0000

Given:

the internal energy of the gas is

$\Delta U=3426$

The work done on the gas is

$W=537\text{ J}$

Required: heat needed to increase the internal energy

Step-by-step explanation:

from the first law of the thermodynamics

we can write,

$\Delta Q=\Delta U+W$

Plugging all the values in the above relation, we get

$\begin{gathered} \Delta Q=3426\text{ J+537 J} \\ \Delta Q=3963\text{ J} \end{gathered}$

Thus, the heat needed

$3963\text{ J}$