A gas is kept in a rigid container and 100 J of heat is supplied to it. What is the work done by the gas and the change in the internal energy of the gas?​

Respuesta :

Answer:

Work done: 0 J

Change in internal energy: +100 J

Explanation:

- The work done by the gas is given by:

[tex]W=p\Delta V[/tex]

where

p is the gas pressure

[tex]\Delta V[/tex] is the change in volume of the gas

Since the gas is kept in a rigid container, its volume is fixed, so there is no change in volume: therefore, [tex]\Delta V=0[/tex] and the work done is zero as well:

[tex]W=0[/tex]

- The change in internal energy of the gas is given by the 1st law of thermodynamics:

[tex]\Delta U=Q-W[/tex]

where Q is the heat supplied to the gas. Since W=0 and Q=+100 J, then the change in internal energy of the gas is

[tex]\Delta U=+100 J+0=+100 J[/tex]