Q. 45.0( 1 Vote )

# Calculate the change in internal energy of a gas kept in a rigid container when 100 J of heat is supplied to it.

Given

Heat supplied ΔQ = 100J

From first law of thermodynamics, we know that,

ΔQ=ΔU+ΔW

Where ΔQ=heat supplied to the system

ΔU=change in internal energy

ΔW=work done by the system

We know that,

Work done = force ×displacement

Therefore,

Work done=pressure ×volume

Let change in the volume of system = ΔV = V2-V1

Pressure =P

Thus, work done by the gas

ΔW=PΔV

Since the gas is kept in a rigid container, therefore ΔV=0 in this case.

So, ΔW=0

Thus, first law will become

ΔQ=ΔU = 100J

change in internal energy will be 100J.

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