a tank contains a mixture of 3.0 mol of nitrogen gas, 2.0 mol of oxygen gas and 1.0 of carbon dioxide gas at 25 degrees celsius and a total pressure of 10.0 atm. Calculate the partial pressure in torr of each gas in the mixture?

To calculate the partial pressure of each gas in the mixture, we can use Dalton's law of partial pressures. According to Dalton's law, the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of each individual gas.

First, let's convert the total pressure from atm to torr. Since 1 atm = 760 torr, the total pressure of 10.0 atm is equal to (10.0 atm) x (760 torr/atm) = 7600 torr.

Next, we need to find the mole fraction of each gas in the mixture. The mole fraction (x) of a gas is given by the ratio of the number of moles of that gas to the total number of moles in the mixture. Let's calculate the mole fractions:

For nitrogen gas:
Mole fraction (x) = moles of nitrogen gas / total moles
= 3.0 mol / (3.0 mol + 2.0 mol + 1.0 mol)
= 3.0 mol / 6.0 mol
= 0.5

For oxygen gas:
Mole fraction (x) = moles of oxygen gas / total moles
= 2.0 mol / (3.0 mol + 2.0 mol + 1.0 mol)
= 2.0 mol / 6.0 mol
= 0.333

For carbon dioxide gas:
Mole fraction (x) = moles of carbon dioxide gas / total moles
= 1.0 mol / (3.0 mol + 2.0 mol + 1.0 mol)
= 1.0 mol / 6.0 mol
= 0.167

Now we can calculate the partial pressure of each gas using the mole fraction and the total pressure:

Partial pressure of nitrogen gas = mole fraction of nitrogen gas x total pressure
= 0.5 x 7600 torr
= 3800 torr

Partial pressure of oxygen gas = mole fraction of oxygen gas x total pressure
= 0.333 x 7600 torr
= 2539.6 torr

Partial pressure of carbon dioxide gas = mole fraction of carbon dioxide gas x total pressure
= 0.167 x 7600 torr
= 1269.2 torr

Therefore, the partial pressure in torr of each gas in the mixture is as follows:
- Nitrogen gas: 3800 torr
- Oxygen gas: 2539.6 torr
- Carbon dioxide gas: 1269.2 torr

Calculate the mole fraction of each gas.

XCO2 = moles CO2/total moles. Do the same for XO2 and XN2.
Then
PCO2 = XCO2*Ptotal
same process for PN2 and PO2.