MHT CET · Physics · Thermodynamics
dQ is the heat energy supplied to an ideal gas under isochoric conditions. If \(\mathrm{dU}\) and \(\mathrm{dW}\) denote the change in internal energy and the work done respectively then
- A \(\mathrm{dQ}=\mathrm{dW}\)
- B \(\mathrm{dQ}>\mathrm{dU}\)
- C \(\mathrm{dQ} < \mathrm{dU}\)
- D \(\mathrm{dQ}=\mathrm{dU}\)
Answer & Solution
Correct Answer
(D) \(\mathrm{dQ}=\mathrm{dU}\)
Step-by-step Solution
Detailed explanation
Under isochoric (constant volume) conditions, the heat energy (dQ) supplied to an ideal gas contributes solely to the change in its internal energy (dU).
Mathematically, this can be expressed as
\(
\begin{aligned}
& \mathrm{dQ}=\mathrm{dU}+\mathrm{dW} \\
& \Rightarrow \mathrm{dQ}=\mathrm{dU}
\end{aligned}
\)
Mathematically, this can be expressed as
\(
\begin{aligned}
& \mathrm{dQ}=\mathrm{dU}+\mathrm{dW} \\
& \Rightarrow \mathrm{dQ}=\mathrm{dU}
\end{aligned}
\)
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