Answer :
Answer:
4.36 g of Carbon
Solution:
Step 1: Calculate the %age of Carbon in given Solid as;
Mass of Carbon = 35.8 g
Mass of Hydrogen = 3.72
Total Mass = 35.8 g + 3.72 = 39.52 g
%age of Carbon = (35.8 g ÷ 39.52 g) × 100
%age of carbon = 90.58 %
Step 2: Calculate grams of Carbon in 4.82 g of given solid as;
Mass of Carbon = 4.82 g × (90.58 ÷ 100)
Mass of Carbon = 4.36 g
To find the mass of carbon in a 4.82 g sample, the percentage of carbon in the original sample is calculated and then multiplied by 4.82 g, resulting in 4.3655 g of carbon.
To determine how many grams of carbon will be in a 4.82 g sample of the solid pure substance containing just carbon and hydrogen, we first calculate the fraction of carbon in the entire sample by dividing the mass of carbon by the total mass of the sample.
The initial sample contains 35.8 g of carbon and the total mass is the sum of the mass of carbon and hydrogen, which is 35.8 g of carbon plus 3.72 g of hydrogen = 39.52 g. The fraction of carbon in the sample is 35.8 g / 39.52 g = 0.9057 (or 90.57%).
To find out how much carbon is in a 4.82 g sample, we multiply this fraction by the mass of the new sample: 0.9057 * 4.82 g = 4.3655 g. Therefore, a 4.82 g sample of this solid will contain 4.3655 g of carbon.
