The flame in a torch used to cut metal is produced by burning acetylene(C2H2) in pure oxygen. Assuming the combustion of 1 mole of acetylene releases 1251kj of heat, what mass of acetylene is needed to cut through a piece of steel if the process requires 36.658 x 10^4 kj of heat?
(1251 kJ/mol C2H2) x ? mol C2H2 = 36.658E4 kJ.
Solve for ? mols C2H2 and convert to g by g = mols x molar mass.
To determine the mass of acetylene needed to cut through a piece of steel, we need to use the given information about the heat released during the combustion.
1 mole of acetylene releases 1251 kJ of heat.
Therefore, we can set up the following proportion to find the number of moles of acetylene needed:
1251 kJ / 1 mole = 36.658 x 10^4 kJ / x moles
Rearranging the proportion, we have:
x moles = (36.658 x 10^4 kJ * 1 mole) / 1251 kJ
Simplifying, we get:
x moles = 29247.4 moles
Since we know the molar mass of acetylene (C2H2) is approximately 26 g/mol, we can calculate the mass of acetylene needed using the following equation:
Mass = Number of moles * Molar mass
Mass = 29247.4 moles * 26 g/mol
Mass ≈ 760,045.4 g
Therefore, approximately 760,045.4 grams (or 760 kilograms) of acetylene is needed to cut through the piece of steel.
To determine the mass of acetylene required to cut through a piece of steel, we need to use the given information about the heat released during the combustion of acetylene.
First, let's find out how many moles of acetylene are required to release 36.658 x 10^4 kJ of heat.
From the given information, we know that the combustion of 1 mole of acetylene releases 1251 kJ of heat.
To find the number of moles, we can use the formula:
moles of acetylene = heat required / heat released per mole
moles of acetylene = (36.658 x 10^4 kJ) / (1251 kJ/mol)
moles of acetylene ≈ 2932.054
Next, we can use the molar mass of acetylene to convert the moles into grams. The molar mass of acetylene (C2H2) can be calculated as follows:
(2 * atomic mass of carbon) + (2 * atomic mass of hydrogen)
(2 * 12.01 g/mol) + (2 * 1.01 g/mol) ≈ 26.04 g/mol
Therefore, the mass of acetylene required can be calculated as:
mass of acetylene = moles of acetylene * molar mass of acetylene
mass of acetylene ≈ 2932.054 * 26.04 g
mass of acetylene ≈ 76318.346 g
Hence, approximately 76318.346 grams (or 76.318 kilograms) of acetylene are needed to cut through the piece of steel.