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NEET
Exam
NEET
Subject
Physics
Chapter
Thermodynamics

NEET · Physics · Thermodynamics

An ideal gas is taken through the cycle (A arrow) (B arrow C arrow...

An ideal gas is taken through the cycle (A \rightarrow) (B \rightarrow C \rightarrow A) as shown in the figure. If the net heat supplied to the gas in the cycle is (5 \mathrm{~J}). The magnitude of work done during the process (C \rightarrow A) is An ideal gas is taken through the cycle (A arrow) (B arrow C arrow A) as shown in the figure. If the net heat supplied

Options

  1. A(5 \mathrm{~J})
  2. B(10 \mathrm{~J})
  3. C(15 \mathrm{~J})
  4. D(20 \mathrm{~J})

Correct answer

A. (5 \mathrm{~J})

Step-by-step solution

An ideal gas is taken through the cycle (A \rightarrow B \rightarrow C \rightarrow A) as shown in the figure, An ideal gas is taken through the cycle (A arrow) (B arrow C arrow A) as shown in the figure. If the net heat supplied
From the graph, WAB=P×dV=10×(2−1)=10 J\begin{aligned} W_{A B} & =P \times d V \\ & =10 \times(2-1)=10 \mathrm{~J} \end{aligned}) Similarly, (W_{B C}=P \times(0)=0 \mathrm{~J}) Accordingtotothe first law of thermodynamics (\Delta Q=\Delta U+W) Here, (\Delta U = 0)∴Q=W5=WAB+WBC+WCAWCA=5−WAB−WBC=5−10−0WCA=−5 J∴∣WCA∣=5 J\begin{aligned} & \therefore \quad Q=W \\ & 5=W_{A B}+W_{B C}+W_{C A} \\ & W_{C A}=5-W_{A B}-W_{B C}=5-10-0 \\ & W_{C A}=-5 \mathrm{~J} \\ & \therefore \quad\left|W_{C A}\right|=5 \mathrm{~J} \\ \end{aligned}) Hence, the magnitude of work done during the process (C \rightarrow A) is (5 \mathrm{~J}).
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