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1st Law of Thermodynamics

When a system...

Question

When a system is taken from state $i$ to state $f$ along the path $i a f$ , it is found that $Q = 50 c a l$ and $W = 20 c a l$ . Along the path $i b f$ $Q = 36 c a l$ . $W$ along the path $i b f$ is :

6 c a l

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16 c a l

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66 c a l

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14 c a l

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Solution

The correct option is A $6 c a l$
Given :When a system is taken from state $i$ to state $f$ along the path $i a f$ , it is found that $Q = 50 c a l$ and $W = 20 c a l$ . Along the path $i b f$ $Q = 36 c a l$ . W along the path $i b f$ is :

Solution :
We have a formula $Δ Q = Δ U + Δ W$
In process $i a f$
$50 c a l = Δ U + 20 c a l$
$Δ U = 30 c a l$
In process $i b f$
$36 c a l = 20 c a l + Δ W$
$W = 6 c a l$

The Correct Opt = A

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When a system is taken from state i to state f along the path iaf, it is found that Q=50cal and W=20cal. Along the path ibf Q=36cal. W along the path ibf is :

When a system is taken from state $i$ to state $f$ along the path $i a f$ , it is found that $Q = 50 c a l$ and $W = 20 c a l$ . Along the path $i b f$ $Q = 36 c a l$ . $W$ along the path $i b f$ is :