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If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from 273 K to 373 K when no work is done

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150 R

300 R

500 R

100 R

answer is C.

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Detailed Solution

$\begin{array}{l} ΔQ = ΔU + ΔW \\ ∵ ΔW = 0 \\ \Rightarrow ΔQ = ΔU = \frac{f}{2} μRΔT = \frac{3}{2} \times 2 R (373 - 273) = 300 R \end{array}$

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