MHT CET · Chemistry · Thermodynamics (C)
When \(\mathrm{x} \mathrm{kJ}\) heat is provided to a system, work equivalent to \(\mathrm{y} \mathrm{J}\) is done on it. What is internal energy change during this operation?
- A \((1000 x+y) J\)
- B \(1000(x+y) J\)
- C \((x+1000 y) J\)
- D \(x+y ~ J\)
Answer & Solution
Correct Answer
(A) \((1000 x+y) J\)
Step-by-step Solution
Detailed explanation
\(
\begin{aligned}
& \mathrm{Q}=+\mathrm{xkJ}=1000 \mathrm{x} \mathrm{J} \\
& \mathrm{W}=+\mathrm{y} \mathrm{J}
\end{aligned}
\)
From I law of Thermodynamics
\(
\begin{aligned}
& \Delta U=Q+W \\
& =(1000 x+y) J
\end{aligned}
\)
\begin{aligned}
& \mathrm{Q}=+\mathrm{xkJ}=1000 \mathrm{x} \mathrm{J} \\
& \mathrm{W}=+\mathrm{y} \mathrm{J}
\end{aligned}
\)
From I law of Thermodynamics
\(
\begin{aligned}
& \Delta U=Q+W \\
& =(1000 x+y) J
\end{aligned}
\)
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