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In a thermodynamic process, pressure of ...

In a thermodynamic process, pressure of a fixed mass of gas is changed in such manner that the gas releases 30 joule of heat and 18 joule of work was done on the gas. If the initial internal energy of the gas was 60 joule, then the final internal energy is `8x` joule. find the value of x

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The correct Answer is:
6

It is given that, initial internal energy `U_(i)=60J` gas releases 30 J of heat and 18 J of work is done on the gas `implies` in the whole, the gas loses 12 J energy `implies` its internal energy will decreases by 12 J, hence final internal energy is.
`U_(f)=60-12impliesU_(f)=48J`
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