The largest number of molecules is ina)36 g of waterb)28 g of COc)46 g...
Mass of N2O5 = 54g
Moles of N2O5 = 54g / 108 g/mole = 0.5 moles
Mass of H2O = 36 g
Moles of H2O = 36g / 18 g/mole = 2 moles
Mass of CO = 28 g
Moles of CO2 = 28g / 28 g/mole = 1 mole
Mass of C2H5OH = 46 g
Moles of C2H5OH = 46g / 46 g/mole = 1 moles
Greater the number of moles of a compound greater will be the number of molecules. Hence 36 g of water with 2 moles (greater the number of moles when compared to others in the list) has the greater number of molecules.
View all questions of this testThe largest number of molecules is ina)36 g of waterb)28 g of COc)46 g...
The largest number of molecules is in 36 g of water
To determine which substance has the largest number of molecules, we need to calculate the number of molecules present in each given mass of substance. This can be done using the concept of moles and Avogadro's number.
1. Calculating the number of moles
- To calculate the number of moles, we divide the given mass of the substance by its molar mass.
- The molar mass of water (H2O) is approximately 18 g/mol.
- The number of moles of water in 36 g can be calculated as:
Moles = Mass / Molar mass = 36 g / 18 g/mol = 2 moles.
- The molar mass of CO (carbon monoxide) is approximately 28 g/mol.
- The number of moles of CO in 28 g can be calculated as:
Moles = Mass / Molar mass = 28 g / 28 g/mol = 1 mole.
- The molar mass of ethyl alcohol (C2H5OH) is approximately 46 g/mol.
- The number of moles of ethyl alcohol in 46 g can be calculated as:
Moles = Mass / Molar mass = 46 g / 46 g/mol = 1 mole.
- The molar mass of nitrogen pentaoxide (N2O5) is approximately 108 g/mol.
- The number of moles of nitrogen pentaoxide in 54 g can be calculated as:
Moles = Mass / Molar mass = 54 g / 108 g/mol = 0.5 moles.
2. Calculating the number of molecules
- Once we have the number of moles, we can use Avogadro's number (6.022 x 10^23) to calculate the number of molecules.
- The number of molecules can be calculated by multiplying the number of moles by Avogadro's number.
- For water, the number of molecules can be calculated as:
Number of molecules = Moles x Avogadro's number = 2 moles x 6.022 x 10^23 molecules/mole = 1.204 x 10^24 molecules.
- For CO, the number of molecules can be calculated as:
Number of molecules = Moles x Avogadro's number = 1 mole x 6.022 x 10^23 molecules/mole = 6.022 x 10^23 molecules.
- For ethyl alcohol, the number of molecules can be calculated as:
Number of molecules = Moles x Avogadro's number = 1 mole x 6.022 x 10^23 molecules/mole = 6.022 x 10^23 molecules.
- For nitrogen pentaoxide, the number of molecules can be calculated as:
Number of molecules = Moles x Avogadro's number = 0.5 moles x 6.022 x 10^23 molecules/mole = 3.011 x 10^23 molecules.
3. Comparing the number of molecules
- Comparing the calculated number of molecules for each substance, we can see that the largest number of molecules is present in 36 g of water.
- Water has approximately