In an engine, an almost ideal gas is compressed adiabatically to half its volume. In doing so, 1850 J of work is done on the gas. What is the change in internal energy of the gas?

Respuesta :

Answer:

The value of change in internal energy of the gas = + 1850 J

Explanation:

Work done on the gas (W) =  - 1850 J

Negative sign is due to work done on the system.

From the first law  we know that Q = Δ U + W ------------- (1)

Where Q = Heat transfer to the gas

Δ U = Change in internal energy of the gas

W = work done on the gas

Since it is adiabatic compression of the gas so heat transfer to the gas is zero.

Q = 0

So from equation (1)

Δ U = - W ----------------- (2)

⇒ W = - 1850 J (Given)

⇒ Δ U = - (- 1850)

Δ U = + 1850 J

This is the value of change in internal energy of the gas.

The change in internal energy of gas will be "+1850 J".

Given:

Work done,

  • W = -1850 J

By using the first law,

→ [tex]Q = \Delta U+W[/tex]

Since, it's a adiabatic compressor then

→ [tex]Q =0[/tex]

hence,

→ [tex]\Delta U = -W[/tex]

By substituting the values, we get

         [tex]= -(-1850)[/tex]

         [tex]= +1850 \ J[/tex]

Thus the above change is correct.

Learn more about energy here:

https://brainly.com/question/22982474