A) \[\frac{R}{2}\]
B) \[\frac{3R}{2}\]
C) \[\frac{5R}{2}\]
D) \[\frac{7R}{2}\]
Correct Answer: B
Solution :
The quantity of heat required is given by \[Q\,=\,n{{C}_{v}}\Delta T\] Where, n is the number of moles. \[{{C}_{v}}\]is specific heat at constant volume. \[\Delta T\]is change in temperature. \[\therefore \]\[Q=1\times \frac{3}{2}R\times 1\] [\[\because \,n=1,\,\Delta T=1{}^\circ C,{{C}_{v}}=\frac{3}{2}R\]for monoatomic gas] \[=\frac{3}{2}R\]
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