Answer:
![\boxed {\boxed {\sf About \ 16 \ grams \ of \ silver}}](https://img.qammunity.org/2021/formulas/chemistry/high-school/aitnssnaob41vbddh3x11pqc9zenvryd5u.png)
Step-by-step explanation:
We are given the reaction:
![Cu_(s)+AgNO_(3(aq)) \rightarrow CuNO_(3(aq))+Ag_(s)](https://img.qammunity.org/2021/formulas/chemistry/high-school/7sfagvev1dhn7asf58c79amrm12swjvzoh.png)
We know that there are 25 grams of silver nitrate, or AgNO₃. First, we must find the molar mass of silver nitrate.
Silver Nitrate (AgNO₃)
Identify the molar masses of each element in silver nitrate using the Peirodic Table.
- Silver (Ag): 107.868 g/mol
- Nitrogen (N) : 14.007 g/mol
- Oxygen (O): 15.999 g/mol
Next, calculate the molar mass. There is a subscript of 3 after the O, so we must multiply oxygen's molar mass by 3.
- O₃= (15.999 g/mol) *3=49.997 g/mol
AgNO₃= (107.868 g/mol) + (14.007 g/mol)+(49.997 g/mol)=169.872 g/mol
Silver
Next, use stoichometry to find the mass of the silver.
- Convert grams of silver nitrate to moles.
![25 \ g \ AgNO_3*(1 \ mol \ AgNO_3)/(169.872 \ g \ AgNO_3)\\](https://img.qammunity.org/2021/formulas/chemistry/high-school/jsv1ux0inbr2v657oe7oo34c7mrulxom03.png)
![(25 \ mol \ AgNO_3)/(169.872)= 0.1471696336 \ mol \ AgNO_3](https://img.qammunity.org/2021/formulas/chemistry/high-school/sum743nb2ial0eygs50npn08hhvs3ptycw.png)
In this reaction, 1 mole of silver nitrate yields 1 mole of silver.
2. Convert moles of silver nitrate to moles of silver.
![0.1471696336 \ mol \ AgNO_3*(1 \ mol \ Ag)/(1 \ mol \ AgNO_3)=0.1471696336 \ mol \ Ag](https://img.qammunity.org/2021/formulas/chemistry/high-school/e2lxk6hl5bcvcffm0494u4lgr4ztqbk7qq.png)
We know that silver's molar mass is 107.868 grams per mole.
3. Convert moles of silver to grams of silver.
![0.1471696336 \ mol \ Ag*(107.868 \ g\ Ag)/(1 \ mol \ Ag )](https://img.qammunity.org/2021/formulas/chemistry/high-school/o25v8zt5dc6ggigs9ycb8ophwqq1ny585j.png)
![0.1471696336 *{107.868 \ g\ Ag}=15.87489404 \ g\ Ag](https://img.qammunity.org/2021/formulas/chemistry/high-school/p2sad6r4xlcmkt6nqg1zl1mvnxxy20hmiq.png)
4. Round
The original measurement given had 2 siginficant figures (25= 2 and 5). Therefore, we must round to 2 sig figs or the nearest whole number for this problem.
The 8 in the tenth place tells us to round up to the nearest whole number.
![15.87489404 \ g \ Ag \approx 16 \ g\ Ag](https://img.qammunity.org/2021/formulas/chemistry/high-school/i15s06g1p4b18rtl02uxa0oyobyc7qci7k.png)
About 16 grams of silver would be produced.