a 4-kg mass of gas expands adiabatically and does 20 j of work. what is the change in the gas's internal energy?

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10-11-2022
Physics

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a 4-kg mass of gas expands adiabatically and does 20 j of work. what is the change in the gas's internal energy?

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qwterabite qwterabite · Answer 1 · 2022-11-16T01:37:04-05:00

There is a change of -20 J in the gas's internal energy.

Adiabatic expansion is the method of volume expansion in which no heat is exchanged inside the system from the surrounding, or the heat exchange is zero. During extension, the exchange of energy takes put as work.Since we given with 4-kg mass of gas expands adiabatically and does 20 j of work.

According to the first law of thermodynamics

ΔQ = ΔU + W

where Q is the heat supply or received, U is the internal energy and W is the work done

since in case adiabatic process , ΔQ = 0

so, ΔU = -ΔW

wince a work done is done by the system, so the work done = +20 J

ΔU = -(+20) = -20 J

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