carbon disulfide and carbon monoxide are produced when carbon is heated with sulfur dioxide.

5C(s)+2SO2(g)-CS2(I)+4CO(g)
a. how many moles of C are needed to react with o.500 mol SO2?
0.500mol SO2 x5C/2SO2=1.25C

agreed, but please remember to include the units.

To find out how many moles of carbon are needed to react with 0.500 mol of sulfur dioxide, we can use the stoichiometry of the balanced chemical equation.

The coefficient in front of carbon (C) in the equation is 5, and the coefficient in front of sulfur dioxide (SO2) is 2. This means that for every 2 moles of sulfur dioxide, we need 5 moles of carbon.

Using this ratio, we can set up a proportion:

0.500 mol SO2 x 5 mol C / 2 mol SO2 = 1.25 mol C

Therefore, 1.25 moles of carbon are needed to react with 0.500 mol of sulfur dioxide.

To determine the number of moles of carbon (C) needed to react with 0.500 moles of sulfur dioxide (SO2), you can use the coefficients in the balanced chemical equation you provided: 5C(s) + 2SO2(g) → CS2(I) + 4CO(g).

First, you need to set up a conversion factor that relates moles of SO2 to moles of C using the ratio from the balanced equation. The coefficient of SO2 is 2, and the coefficient of C is 5.

The conversion factor is:

5C/2SO2

To find the number of moles of C, multiply 0.500 mol of SO2 by the conversion factor:

0.500 mol SO2 × (5C/2SO2) = 1.25 mol C

Therefore, 0.500 mol of SO2 will react with 1.25 mol of C.