Question:
The heat required to increase the temperature from 373 K to 573 K at constant volume for ideal monoatomic gas of 2 moles is ( \(R=\) universal gas constant)
The heat required to increase the temperature from 373 K to 573 K at constant volume for ideal monoatomic gas of 2 moles is ( \(R=\) universal gas constant)
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At constant volume the heat required is n times Cv times the temperature rise, with Cv equal to 3R/2 for a monoatomic gas.
Updated On: Nov 13, 2026
900 R
\(300\mathrm{R}\)
1200 R
600 R
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
\(Q = nC_v\Delta T\), and for a monoatomic ideal gas \(C_v = \dfrac32R\).
Step 2: Substitute
\(n = 2\), \(\Delta T = 573 - 373 = 200\ \text{K}\)
Step 3: Calculation
\(Q = 2\times\dfrac32R\times200 = 600R\)
Step 4: Result
Option D.
Final Answer:
The heat required is 600 R. \[ \boxed{\text{(D) }600\,\text{R}} \]
\(Q = nC_v\Delta T\), and for a monoatomic ideal gas \(C_v = \dfrac32R\).
Step 2: Substitute
\(n = 2\), \(\Delta T = 573 - 373 = 200\ \text{K}\)
Step 3: Calculation
\(Q = 2\times\dfrac32R\times200 = 600R\)
Step 4: Result
Option D.
Final Answer:
The heat required is 600 R. \[ \boxed{\text{(D) }600\,\text{R}} \]
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