Two of the simplest compounds containing just carbon and hydrogen are methane and ethane. Methane contains 0.3357 g of hydrogen for every 1.00 g of carbon. The ratio of grams of hydrogen per gram of carbon in methane to grams of hydrogen per gram of carbon in ethane is 4:3. Determine the number of grams of hydrogen per gram of carbon in ethane.

Let the ratio of grams of hydrogen per gram of carbon in methane be M, we know that:

M = 0.3357 g / 1 g

Next, lets represent the grams of hydrogen per gram of carbon in ethane be E. The final piece of information we have is:

M / E = 4/3

If we cross multiply,

3M = 4E

Now, substituting the value of M from earlier and solving for E,

E = (3 * 0.3357) / 4

E = 0.2518

There are 0.2518 grams of hydrogen per gram of carbon in ethane.