Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

parts b and c the next two questions pertain to silver. they have nothi…

Question

parts b and c
the next two questions pertain to silver. they have nothing to do with unknown metal described in part a.
part b
the molar heat capacity of silver is 25.35 j mol⁻¹ °c⁻¹. how much energy would it take to raise the temperature of 10.7 g of silver by 14.2 °c?
express your answer with the appropriate units.
view available hint(s)
q = 35.7 j
submit previous answers
correct
correct answer is shown. your answer 35.4 j was either rounded differently or used a different number of significant figures than required for this part.
part c
what is the specific heat of silver?
express your answer with the appropriate units.
view available hint(s)
value units

Explanation:

Step1: Recall the relationship between molar - heat capacity and specific heat

The molar mass of silver ($Ag$) is $M = 107.87\ g/mol$. The specific heat ($c$) and molar heat capacity ($C_m$) are related by the formula $C_m = c\times M$.

Step2: Calculate the specific heat

We know that $C_m=25.35\ J\ mol^{- 1}\ ^{\circ}C^{-1}$ and $M = 107.87\ g/mol$. Rearranging the formula $C_m = c\times M$ for $c$, we get $c=\frac{C_m}{M}$.
Substitute the values: $c=\frac{25.35\ J\ mol^{-1}\ ^{\circ}C^{-1}}{107.87\ g/mol}\approx0.235\ J\ g^{-1}\ ^{\circ}C^{-1}$.

Answer:

Value: $0.235$
Units: $J\ g^{-1}\ ^{\circ}C^{-1}$