How many grams of nitric acid will react completely with a block of iron metal that is 4.5 cm by 3.0 cm by 3.5 cm, if the density of iron is 7.87 g/mL? Show all steps of your calculation as well as the final answer.

Fe + HNO3 → Fe(NO3)3 + H2

Question

How many grams of nitric acid will react completely with a block of iron metal that is 4.5 cm by 3.0 cm by 3.5 cm, if the density of iron is 7.87 g/mL? Show all steps of your calculation as well as the final answer. 

Fe + HNO3 → Fe(NO3)3 + H2

superhelp101 · Answer

i know i have to do this first i have to balance the equation and then  you can get mass as d=m/V

abmon98 · Answer

Multiply 4.5, 3 and 3.5 to obtain the volume of the block of iron. 
Density=Mass/Volume 
Density*Volume=Mass

superhelp101 · Answer

oh. after i do do Density*Volume=Mass
do get the answer?

abmon98 · Answer

yes you do get the mass of Fe

superhelp101 · Answer

Volume: 4.5 X 3 X 3.5= 47.25
Density*Volume=Mass
 7.87 *47.25= 371.8575
Density=Mass/Volume
7.87=371.8575/ 47.25
7.87=7.87 :)

superhelp101 · Answer

how do i find how many grams?

abmon98 · Answer

mass is known now, use Number of Moles=Mass(g)/Molar Mass(g/mol)
plug in the value of 371.8575 as the mass and look for the atomic weight of iron on your periodic table and plug it in as the molar mass 
Balance your chemical equation, look for the mole ratio calculate the molar mass of nitric acid and use Mass(g)=Molar Mass(g/mol)*Number of Moles

superhelp101 · Answer

ok i will do it and then i'll let you know what i get

abmon98 · Answer

take your time.

superhelp101 · Answer

Moles=Mass(g)/Molar Mass(g/mol)
6.66=371.8575/ 55.85
Balance equation is Fe2O3 + 6HNO3 → 2Fe(NO3)3 + 3H2O
Mass(g)=Molar Mass(g/mol)*Number of Moles
371.8575= 55.85 * 6.66
371.8575= 371.961
it is about the same did i do anything wrong?

abmon98 · Answer

now you got the number of moles of iron oxide look at the mole ratio of Fe2O3 to HNO3 which is 1:6 multiply out 6.66 by 6 and divide by 1

superhelp101 · Answer

so 6.66 * 6=39.96/1= 39.96

superhelp101 · Answer

@Abmon98

abmon98 · Answer

no 39.96 represent the number of moles of HNO3 now multiply 39.96 by the molar mass of HNO3
1+14+(16*3)

superhelp101 · Answer

39.96 * 63.01= 2517.8796

superhelp101 · Answer

@Abmon98

abmon98 · Answer

Exactly

superhelp101 · Answer

yay so would this be the answer 2517.8796 for grams?

abmon98 · Answer

yes

superhelp101 · Answer

ok. thank you so much for your time and help!

abmon98 · Answer

your most welcome man and good to see such improvement :D