Question

A gas is heated at constant volume, what fraction of heat is converted to work.
(a) 1 (b) 1⁄2 (c) 1⁄4 (d) zero

Answer 1

The fraction of heat, converted to work is zero

Therefore, option (d) is correct.

Explanation:

Given: A gas is heated at constant volume

To find out: The fraction of heat that is converted to work

Solution:

Since the gas is heated at constant volume

The process is isochoric process

The initial volume $(V_i)$ will be equal to the final volume $(V_f)$

Thus,

$V_i=V_f$

Change in volume $\Delta V=0$

Therefore, the work done

$W=PdV=P\times 0=0$

In fact the whole heat will be absorbed to increase the internal energy of the system.

Hope this answer is helpful.

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Answer 2

The amount of work done is equal to zero.

Explanation:

• The amount of work done is zero.
• We are given that:
• Since the volume of gas is constant during heating, therefore, the process is isochoric.

Now

The initial and final volume will be equal.

Vi = Vf

There is no change in volume.

Delta V =  0

Work Done "W" = PdV = P x 0 = 0

Thus the amount of work done is equal to zero.