chemistry experiment needed 12.45 grams of chemical to produce one liter of a gas. If Zoe wanted 24 liters of gas, how many kilograms of the chemical will she need?
To determine the mass of chemical needed, we can use the given information.
Given:
- 12.45 grams of chemical produces 1 liter of gas.
We need to find the mass of chemical needed to produce 24 liters of gas.
First, we can calculate the total mass of chemical needed to produce 1 liter of gas by multiplying the mass of chemical needed per liter by the number of liters of gas needed:
12.45 grams/Liter * 1 Liter = 12.45 grams
Next, we multiply the mass of chemical needed per liter by the number of liters of gas needed to find the total mass of chemical needed:
12.45 grams/Liter * 24 Liters = 298.8 grams
Finally, we convert the mass from grams to kilograms by dividing by 1000:
298.8 grams / 1000 = 0.2988 kilograms
Therefore, Zoe will need 0.2988 kilograms of the chemical to produce 24 liters of gas.
To solve this problem, we can use a simple unit conversion.
Given that 12.45 grams of the chemical produces 1 liter of gas, we can set up a ratio:
12.45 grams / 1 liter = x grams / 24 liters
To find the value of x (the number of grams needed to produce 24 liters), we can cross-multiply and solve for x:
12.45 grams * 24 liters = x grams * 1 liter
298.8 grams = x grams
Therefore, Zoe will need 298.8 grams of the chemical to produce 24 liters of gas.
To convert grams to kilograms, we divide the number of grams by 1000 (since there are 1000 grams in a kilogram):
298.8 grams / 1000 = 0.2988 kilograms
Thus, Zoe will need approximately 0.2988 kilograms of the chemical to produce 24 liters of gas.