The molar mass of a substance is 50 , g/mol. | vedclass

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(B) Given: Molar mass $M_w = 50 \, g/mol$,mass of sample $m = 25 \, g$,heat supplied $Q = 300 \, J$,change in temperature $\Delta 	heta = 50^{\circ}C

Vedclass · Accepted Answer

$30$

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(B) Given: Molar mass $M_w = 50 \, g/mol$,mass of sample $m = 25 \, g$,heat supplied $Q = 300 \, J$,change in temperature $\Delta 	heta = 50^{\circ}C - 30^{\circ}C = 20^{\circ}C$.First,calculate the specific heat capacity $(S)$:$Q = m \cdot S \cdot \Delta 	heta$$300 = 25 \cdot S \cdot 20$$300 = 500 \cdot S$$S = \frac{300}{500} = 0.6 \, J/g \cdot ^{\circ}C$.Now,calculate the molar heat capacity $(C_m)$:$C_m = M_w \cdot S$$C_m = 50 \, g/mol \cdot 0.6 \, J/g \cdot ^{\circ}C$$C_m = 30 \, J/mol \cdot ^{\circ}C$.Thus,the correct option is $B$.

The molar mass of a substance is $50 \, g/mol$. When $300 \, J$ of heat is supplied to a $25 \, g$ sample of this substance,its temperature increases from $30^{\circ}C$ to $50^{\circ}C$. The value of its molar heat capacity is ..... $J/mol \cdot ^{\circ}C$.

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